Honors Multivariable Calculus Online Course for Academic Credit
Honors Multivariable Calculus is the honors sophomorelevel Calculus course completed after the
freshman Calculus III calculus courses. Multivariable Calculus investigates the calculus
of functions of 2 (or more) input variables, which leads to graphs in 3D for 2 input variables,
and higher dimensions which we cannot graph so easily, but we can still study and analyze by learning
and developing the mechanisms in the 3D case.
Cost: $2165 Tuition + $70 Semester Fee + $115 Software/Etextbook
Detailed Course Syllabus PDF
Delivery: Fully Online, Asynchronous, SelfPaced
Click Here to Enroll in DMAT 356  Honors Multivariable Calculus and Vector Analysis
Nationally, "Honors" courses usually are centered on a mathematically rigorous development of the concepts of calculus, bringing many advanced topics from upper division courses such as Advanced Calculus and Real Analysis into the freshman honors calculus courses. While this may be a worthwhile approach for students who seek to become mathematics majors, it creates, for many students, an inflated level of course difficulty of questionable benefit to related fields of study.
Our approach to Honors courses is built upon a distinctly different educational philosophy:
 Freshman & Sophomore Calculus is NOT the correct math level to increase rigor
We believe that mathematical rigor is learned after exposure to the calculus, in the upper division, after some time and maturing of mathematical thought is allowed to organically develop. No student ever understood the concept of a derivative because the natural numbers were first axiomatically developed.  Honors means DEEPER, not just HARDER
In mathematics, the potential for making any course harder is a rather simple proposition. Work SMARTER, not HARDER mandates that an honors course should not be more difficult just to say it is. A true honors student wants to go deeper into the topics, not flirt with academic demoralization via some mathematical bootcamp experience.  Technical Writing Curriculum
While axiomatic development has its place in upper division math, core improvement of technical writing skills will benefit all students in all disciplines with immediate effect. If calculus is supposed to be mathematical preparation for science, technology, and engineering related fields, then development of technical writing skills should be as important as computational prowess.  Course Term Paper
Each Honors course student will write a 1020 page term paper on a topic chosen in collaboration with the course instructor, empowering the student to simultaneously improve technical writing skills and deepen knowledge in the student's chosen academic field via a uniquely creative exercise that will transcend the traditional course boundaries.
In summary, our Honors courses go deeper and broader in the curriculum, offer a notch more challenging course work set, and featuring a technical writing curriculum that truly prepares the student for further academics in the sciences.
Our Multivariable Calculus course via Distance Calculus @ Roger Williams University is a beautiful course, full of graphical, numerical, and symbolic investigations using the LiveMath computer algebra and graphing system.
Below you will be able to read more about our Multivariable Calculus course, and watch a few videos explaining some aspects of the course and the curriculum.
Completion of DMAT 356  Honors Multivariable Calculus earns 5 academic credit semester hours with an official academic transcript from Roger Williams University, in Providence, Rhode Island, USA, which is regionally accredited by the New England Commission of Higher Education (NECHE), facilitating transfer of credits nationwide to other colleges and universities.
Course Matrix: DMAT 356  Honors Multivariable Calculus and Vector Analysis
Prerequisite 
THIS LEVEL 
Next Courses 




DMAT 356 Honors Multivariable Calculus differs from the mainstream DMAT 355 Multivariable Calculus course in the following ways:
Core Topics 
DMAT 355 Multivariable Calculus 
DMAT 356 Honors Multivariable Calculus 
Vectors  Dot/Cross Products, Perpendicularity  +Polar Coordinates, Complex Numbers, and Quaternions 
Derivatives  Partial Derivatives, Gradients, Level Curves, Lagrange Multipliers, Nornals/Binormals/Torsion  +Higher Differentials, Curvature, Data Fitting, Higher Dimensional Optimizations 
Vector Fields 
Path Integrals, Gradient Fields, Divergence Theorem, Singularities, Curl, Div  + Potential Functions, Electric Fields, Hamiltonian Fields, ImplicitlyDefined Functions, Laplacians 
Multiple Integrals 
uv Transformations, Fubini's Theorem, 3D Integrals  + Ribbons, Eigenvalues and Eigenvectors, Hypervolume 
Coordinate Systems 
Cylindrical, Spherical  + Tubes, Horns, Average Values, Centers, Mobius Strips, Parameterization of Algebraic Curves and Surfaces 
Generalized Fundamental Theorem 
Green, Stokes, Divergence  + 3D Conservative Fields, 3D Work, Higher Dimensional Curl/Div, Laplacians, Flux 
Technical Writing 
Basic Exposition in Homework Problems 
+ Technical Writing Curriculum, Term Paper 
Other Names for Our Multivariable Calculus  DMAT 355/356
"Multivariable Calculus" has many different names at various other academic institutions. Our "Multivariable Calculus" course is often called these other calculus course names: Vector Calculus
 Calculus III
 Calculus of Several Variables
 Calculus IV
 Calculus 3
 Calculus 4
"Calculus III" is sometimes a course after Calculus II that has power series, Taylor's Theorem, and some 3D Calculus, perhaps stopping at partial derivatives. Our course is the fuller Vector Calculus course, culminating with the theorems of Green, Gauss, Stokes, and the Divergence Theorem. Sometimes this level of Vector Calculus or Multivariable Calculus is referred to as the "higher Multivariable Calculus course".
Our Multivariable Calculus course is not "Advanced Calculus", which is usually an upper division course for math majors, using texts like Rudin or Apostol, which are courses beginning a study of real analysis, focusing on rigorous mathematical proofs of concepts of calculus.
Multivariable Calculus Online Course for Credit Introductory Videos
Multivariable Calculus Online Course for Credit Introduction
Aften enduring the firstyear Calculus I and Calculus II courses on singlevariable differentiation and integration theory, undergraduates earn admission to the course where Calculus actually gets fun: 3D Calculus  the Calculus of many variables.Seems easy, right? Instead of functions of one variable  f(x)  we now study functions of two variables:
How does this change to 2 input variables x,y change the theorems of Calculus? What does the Fundamental Theorem of Calculus look like for f(x,y)? What does it mean to take "the derivative" of f(x,y)? What does it mean to take "the integral" of f(x,y)?
In Multivariable Calculus, the graphics from the computer algebra software really come alive.
In 2D Calculus, the graphs are rather pedestrian, not much above those graphs you can generated on a graphing calculator. In 3D Calculus, the computer graphics become an indispensible part of the investigation  as essential as needing a microscope to do Biology, or beakers and solutions to do Chemistry.
Our Multivariable Calculus Online course has the following main components:
 Getting Started in LiveMath
 Vectors
 Differentiation in 2 or more variables
 Integration in 2 or more variables
 Fundamental Theorem of Calculus
Roger Williams University Course Catalog Listing: DMAT 356  Honors Multivariable Calculus and Vector Analysis
Course: DMAT 356
Course Title: Honors Multivariable Calculus and Vector Analysis
Transcript Course Title (30 Characters Max:): Honors Multivar Calculus IV
Course Description: An honorslevel first course in multivariable differential and integral calculus, with emphasis on computational techniques, vector field analysis, and the generalized Fundamental Theorem of Calculus giving insight to the classical theorems of Green, Gauss, and Stokes. Topics include geometric analysis of multivariable functions, partial derivatives, level curves and surfaces, optimization, properties of vector fields, gradients, potential functions, path integrals and independence, field singularities, divergence and rotation, multiple integration, integral coordinate Jacobian transforms. Honors courses will include greater breadth and depth of topics, and develop technical writing skills, culminating in a mathematical term paper on an approved topic. [5 Semester Credits]
Prerequisite: Successful completion with grade B or higher in both Calculus I and Calculus II or equivalent, or consent of instructor; experience with programming languages.
ETextbook: Vector Calculus & Mathematica by Davis/Porta/Uhl
Software: LiveMath & Mathematica
PDF Course Syllabus: Detailed Course Syllabus in PDF for DMAT 356  Honors Multivariable Calculus and Vector Analysis
DMAT 356  Honors Multivariable Calculus and Vector Analysis  Learning Outcomes
 1. To understand the core geometrical elements of Euclidean space
 2. To understand and compute vector operations and their geometrical interpretations
 3. To understand and compute partial derivatives and gradient functions
 4. To understand and compute curves, level curves, surfaces, and level surfaces to multidimensional functions
 5. To understand and compute vectorvalued functions and their geometric representations
 6. To understand and compute the classical optimization procedure of Lagrange Multipliers
 7. To understand, compute, and graph vector fields and their associated metrics
 7. To understand and compute path integrals of vector fields
 8. To understand, compute, and graph sources, sinks, and singularities of vector fields
 9. To understand and compute the divergence of a vector field, and its associated computations
 10. To understand and compute the rotation and curl of a vector field, and its associated computations.
 11. To understand and compute path integrals in the presence of singularities
 12. To understand and compute multiple integrals, and their associated geometrical interpretations
 13. To understand and utilize Fubini's Theorem for reordering integrations
 14. To understand and compute Jacobian transformations of multiple integrals
 15. To understand and compute cylindrical, spherical, and other coordinate systems, and their associated measurments with derivatives and integrals
 16. To understand an introduction to the Generalized Fundamental Theorem of Calculus, and its variations in the Divergence Theorem, and the Theorems of Gauss, Green, and Stokes.
 Honors Topics:
 17.* To understand and compute curves with dictated curvature
 18.* To understand and compute examples in data fitting by polynomials and trigonometric functions
 19.* To understand and compute higher dimensional optimizations using multivariable derivatives
 20.* To understand and compute potential functions as antiderivatives of gradient functions
 21.* To understand an introduction to Electric and Hamiltonian Fields
 22.* To understand and compute 3D path integrals and surface integrals, both directly and using the reductions afforded by the Generalized Fundamental Theorem of Calculus
 23.* To develop mathematical technical writing skills, culminating in a term paper on an approved topic
DMAT 356  Honors Multivariable Calculus and Vector Analysis  Syllabus of Topics
1. Getting Started 1.1 Email and Chat 1.2 Learning About the Course 1.3 Required Hardware 1.4 Software Fundamentals 2. Vectors 2.1 Geometry of Vectors 2.2 Tangent Vectors; Velocity Vectors, Acceleration Vectors 2.3 Vector Length 2.4 Dot Products 2.5 Vector Projection 2.6 Perpendicularity 2.7 Lines 2.8 Normal Vectors 2.9 Cross Product 2.10 Planes in 3D 2.11 Normal, Binormals, Curvature, Torque 2.12* Curvature Dictating Curves 3. The Derivative 3.1 Partial Derivatives 3.2 Gradient 3.3 Level Curves and Surfaces 3.4 Linearization 3.5 Total Differential 3.6 Lagrange Multipliers 3.7* Data Fitting 3.8* Higher Dimensional Optimizations 4. Vector Fields 4.1 Plotting and Trajectories 4.2 FlowAlong and FlowAcross Curves 4.3 Differential Equations and Vector Fields 4.4 Path Integrals 4.5 Gradient Fields 4.6 Sources, Sinks 4.7 Divergence Theorem 4.8 Singularities 4.9 Rotation and Curl 4.10*Potential Functions 4.11*Electrical Fields 4.12*Hamiltonian Fields 4.13*Implicitly Defined Functions 4.14*Work 4.15*Laplacians and the Heat Equation 5. Multiple Integrals 5.1 Basic Computation 5.2 uv Transformations; Jacobians 5.3 Measurement of Volume, Mass, Density 5.4 3D Integrals 5.5 Average Value 5.6 Fubini's Theorem 5.7* Ribbons of Constant Width 5.8* Eigenvalues and Eigenvectors 5.9* Hypervolume 6. Other Coordinate Systems 6.1 Cylindrical Coordinates 6.2 Spherical Coordinates 6.3 Integration in Other Coordinate Systems 6.4* Tubes, Horns 6.5* Average Values, Centers of Mass 6.6* Mobius Strips 7. Gauss, Green, Stokes Theorems 7.1 Green's Theorem 7.2 Stokes' Theorem 7.3 Divergence Theorem 7.4 Generalized Fundamental Theorem of Calculus 7.5 Sources, Sinks, and 3D Gauss's Formula 7.6 Surface Integrals 7.7* Gradient Test in 3D 7.8* Work in 3D 7.9* Parallel Flow and Irrotational Flow 7.10* curlField and rotField Connections 7.11* Laplacians 7.12* Flux and Electric Fields 8.* Mathematical Writing 8.1* Cogent writing 8.2* Mathematical Presentation 8.3* Term Paper Topic and Research
Multivariable Calculus vs. Calculus III
Multivariable Calculus is a course known by many different names at various Colleges/Universities, including: Calculus III
The third semester of a 4credit hour Calculus sequence, as it is in our Distance Calculus calculus courses program.  Calculus IV
Usually the fourth quarter of a 3credit hour Calculus sequence.  Vector Calculus
An appropriate title in that we study vector fields and the generalization of the derivative; most textbooks for this course entitled this way, too.  Multivariable Calculus
The most descriptive moniker, encompassing all aspects of Calculus of more than 1 variable.
At some schools, the Multivariable Calculus curriculum is called "Calculus III", or even "Calculus IV", with the intention of the higher multivariable calculus topics of vector fields, partial derivatives, multiple integrals, gradients, the path and surface integral, and the Gauss/Stokes/Divergence Theorems.
One common way to identify the Vector Calculus / Multivariable Calculus course is how this higher courses basically starts with partial derivatives, then goes through path integration of vector fields in 2D and 3D, multiple integrals, and then the named theorems of Green, Gauss, and Stokes. These core topics will help identify Multivariable Calculus in the list of other calculus courses at other institutions.
4credit Semester  3credit Semester/Quarters  

Calculus I Differentiation + Beginning Integration  Calculus I Differentiation  
Calculus II Integration Techniques  
Calculus II Integration Techniques + Sequences/Series/Taylor's Theorem  
Calculus III Sequences, Series, Taylor's Theorem  
Multivariable Calculus Vectors, Gradients/Partial Derivatives, Path Integrals, Green's Theorem, Stokes' Theorem, Divergence Theorem 
Excellent ReEntry Point to Calculus
When nontraditional, older students are returing to academics, after a break that can span years or even decades, a most common question is: Where should I reenter in the Calculus sequence?If you have completed the Calculus I and Calculus II courses previously (even decades ago), and the concepts of differentiation and integration are remembered at a modest level, then an excellent course to return to the Calculus sequence is via the Multivariable Calculus course.
For the student, Multivariable Calculus is where you usually learn  really learn  the topics from Calculus I and II  not because Multivariable Calculus is harder, but just that you revisit the topics from Calculus I and II, but now looking for how these concepts will generalize from a single variable to multiple variables. It is through this generalization process that many students have the "ahha!" moment with the original topics from single variable calculus.
In case you did complete Calculus I and Calculus II previously, but you do not remember the basics of differentiation and integration, then returning to Calculus I or Calculus II is the best plan for success in Multivariable Calculus.
Example Multivariable Calculus Student Profiles
Case 1: Calculus I Done, Calculus II Done; Marching Forward in Multivariable Calculus
Phew! Getting through Calculus I and Calculus II is an achievement!But if you are a science major, most likely Multivariable Calculus is next on your todo list.
One indicator of how fast a student can complete Multivariable is the grade earned in Calculus II.
Typical Completion Timelines for DMAT 356  Multivariable Calculus  
Hours Dedicated  Calculus II Grade  Dedication  Completion Time  Advisory 

510 hours/week  C,D  12 hours/day  16 weeks  Reasonable 
712 hours/week  C,D  23 hours/day  14 weeks  Reasonable 
1015 hours/week  C+,B,B+  34 hours/day  10 weeks  Reasonable 
1520 hours/week  B  56 hours/day  8 weeks  Stretched 
2025 hours/week  A  57 hours/day  6 weeks  Stretched 
2535 hours/week  A+  68 hours/day  4 weeks  World's Record 
Case 2: Undergraduate Science Major
Marco is a undergraduate engineering major, and part of his degree program dictates that he finish Multivariable Calculus. Marco did pretty well in Calculus I and Calculus II. Rather than more lectures/taking notes/Problems 199 odd, Marco wants to change things up, and to take the Multivariable Calculus course via the Distance Calculus calculus courses.How fast can Marco complete the Multivariable Calculus online course?
The answer to this question depends mostly on when Marco plans to work on the course.
The most successful time for Marco would be during winter, spring, or summer breaks from his regular course load. By modifying his schedule to work on the Multivariable course during these "off times", Marco will be able to concentrate and focus just on the Multivariable Calculus course, and his tendency towards success will increase dramatically.
If Marco must complete the Multivariable Calculus course during the regular semester, as part of the other 35 courses he is taking, trying to fit Multivariable Calculus in there will be challenging (although not as challenging as trying to do the same for Calculus II, as it turns out). Here are some timelines for such a plan:
Multivariable Calculus Online Course Plan With Full Course Load Otherwise  
Hours Dedicated  Calculus II Grade  Dedication  Completion Time  Advisory 

9 hours/week  C  3 hours/day, 3 days/week  18 weeks  Reasonable 
12 hours/week  C  3 hours/day, 4 days/week  14 weeks  Reasonable 
12 hours/week  B  3 hours/day, 4 days/week  12 weeks  Reasonable 
15 hours/week  B  3 hours/day, 5 days/week  10 weeks  Stretched 
15 hours/week  A  3 hours/day, 5 days/week  8 weeks  Stretched 
18 hours/week  A+  3 hours/day, 6 days/week  6 weeks  Ambitious 
Case 3: Returning To Graduate School: Rushed
Karen just got accepted into Graduate School in Economics towards a Ph.D. She has a conditional acceptance, and must finish Multivariable Calculus in a very short time. Karen also works full time.What must Karen do to finish Multivariable Calculus Online Course?
The "short time" needs to be on the order of 34 weeks for Multivariable Calculus. Anything less is quite impossible. While Multivariable Calculus is a bit easier than Calculus II, the Multivariable Calculus course still has its challenges, and timeontask will still require a significant time committment with enough rest spots for the concepts to "sink into the brain sponge".
Karen will need to plan for large blocks of time to dedicate towards the course. If shooting for 4 weeks completion, then at least 810 hours per day. If shooting for 6 weeks completion, then 68 hours per day, every day. It will be a very challenging 46 weeks.
Karen should also be ready that the course takes a little longer than the planned 45 weeks. Going a week or two over to 68 weeks is quite common. Usually graduate schools are quite understanding of the situation of "I'm almost done", and in many cases, the graduate school will give a short extension to aid the student with harsh deadlines.
Karen must understand that even though there are some tough deadlines with this plan, that does not mean that "corners are cut" in the Multivariable course because of these extenuating circumstances. There is only 1 way through the course, and that is the right way.
Case 4: Returning To Graduate School: Methodical
Thomas is applying to Graduate School in Biostatistics towards a Ph.D., and will start in 1 year. Thomas knows she must complete Multivariable Calculus prior to starting that course work (and even before submitting the graduate school application).What will the Multivariable Calculus online course look like for Thomas?
Thomas is not in a rush, yet he wants to finish the course methodically, in a timely manner, as quickly as possible. As Thomas is a Ph.D. bound student, he is highly motivation and taskcompletion oriented. Some timelines for Thomas for Multivariable Calculus might look like this:
GraduateBound Student Timelines for DMAT 356  Multivariable Calculus  
Hours Dedicated  Calculus II Grade  Dedication  Completion Time  Advisory 

57 hours/week  C  12 hours/day  18 weeks  Relaxed 
812 hours/week  B  23 hours/day  10 weeks  Reasonable 
1014 hours/week  B+/A  34 hours/day  8 weeks  Reasonable 
1420 hours/week  A  45 hours/day  6 weeks  Ambitious 
Case 5: Lack of Success in Classroom Multivariable Calculus Course
Mike took Calculus I and Calculus II and did OK in the courses, earning C grades. Then Mike went onto Multivariable Calculus, hoping to improve his grades above the C level. One thing led to another, and Mike didn't succeed in the traditional, classroom Multivariable Calculus course.Mike loathes the thought of returning to the classroom lecture for Multivariable. The lectures were not that much fun going through them the first time, and trying to sit through them a second time will be more than just painful.
Mike wants to change gears, and try something new  taking Multivariable Calculus online course via the Distance Calculus calculus courses.
Typically, students like Mike will take the course over the summer months, and be able to focus just on the Multivariable Calculus course, without being overwhelmed by multiple courses all vying for Mike's attention.
Mike should plan to take a step back, a deep breath, and engage the online course as if starting on a marathon race. Just because Mike "had Multivariable Calculus already", this poor foundational knowledge will not help Mike succeed in this second (and quite different attempt).
Mike would be approaching Multivariable Calculus from a completely different viewpoint than his previous attempt, which certainly goes a long way to minimizing the "review" nature of repeating a course. When going through the new Multivariable Calculus course, all will see things he saw before (e.g. partial derivatives, path integrals, etc.), but completely different types of questions that he probably saw in the classroom/textbook course. An open mind, and genuine academic curiousity to investigate and embrace the new style of work will be required for success.
Mike should plan for a minimum of 12 weeks to engage the online course, even during the summer. It will take time for the course concepts and materials to "sink in" and become comfortable.
We have had many students like Mike succeed in Multivariable Calculus where their classroom experience with Multivariable Calculus was a failure. However, we have also had many students like Mike who discover that the reason they didn't succeed in their first attempt at Multivariable Calculus was an indicator that their math skills are not strong, their interest in math is weaker, and their chosen course study plan may need to change upon failure in two different course paradigms.
Case 6: Life After AP Calculus BC Exam
Rebecca is a hotshot high school student. She has completed AP Calculus BC exam (equivalent to Calculus II), and now she is ready for the next course. Few (if any) high schools offer the course after AP Calculus BC, which is the Multivariable Calculus course.Rebecca will most likely be able to finish the Multivariable Calculus online course very quickly with a dedicated effort that is quite natural for her. 68 weeks is the common time frame.
However, Rebecca may discover that Multivariable Calculus via Distance Calculus is an adult course, and quite unlike the high school course paradigm that he has been so successful in previous. Some students like Rebecca can find Multivariable Calculus more difficult than they anticipated, and they have to dedicate more time and effort than they had planned to budget for.
While Rebecca can earn collegiate credits for Multivariable Calculus in a similar way that AP Calculus BC would earn, Rebecca would not benefit from the inflated GPA multiplier that AP courses help with high school GPAs.
Referenced Colleges/Universities From Our Multivariable Calculus Students
Over the past 26 years, Distance Calculus have enrolled thousands of students who successfully complete our online calculus courses, and use this Official Academic Transcript record towards undergraduate and graduate programs at various colleges and universities in the U.S. and throughout the world.
Below is a list of schools that Distance Calculus  Multivariable Calculus students have listed as their Home Institution:
 Armstrong Atlantic State Univeristy
 Belmont University
 Bloomsburg University
 Boston University
 Clemson University
 Cornell University
 California State University, Dominguez Hills
 Denison University
 Drexel University
 Florida International University
 Florida State College, Jacksonville
 Fresno State University
 Gannon University
 Georgia Institute of Technology
 Georgia State University
 Governor's State University
 Hillsdale College
 Harvard University, Kennedy School of Government
 La Sierra University
 Liberty University
 Mercer University
 Missouri University of Science and Technology
 Montana State University
 University of Montana
 New Mexico State University
 Northeastern University
 Oregon State University
 Portland State University
 Rowan University
 San Diego State University
 Santa Fe Community College
 South Dakota School of Mines and Technology
 St. Mary's College of Maryland
 Texas A&M
 Texas Tech University
 The Catholic University of America
 The Citadel, Military College of South Carolina
 The College of St. Scholastica
 The Master's College
 The University of Alabama
 TUI University
 Tulane University
 University of Alabama, Huntsville
 Union University
 United States Air Force Academy
 United States Military Academy
 Univeristy of Puget Sound
 University of Central Florida
 University Of Connecticut
 University of illinois
 University of Kentucky
 University of Massachusetts, Amherst
 University of Minnesota
 University of Missouri, Columbia
 University of Montana
 University of New Orleans
 University of North Dakota
 University of Notre Dame
 University of Pennsylvania
 University of Pittsburgh
 University of Portland
 University of Richmond
 University of Southern California
 University of Texas at Austin
 University of Wyoming
 Utah State University
 Villanova University
 Walla Walla University
 Washing State University
 Webster University
 Westminster College
 William Jewell College
 Yale University
Multivariable Calculus: 80% Computer Algebra, 20% Pencil/Paper, 0% Multiple Choice
Through the usage of a computer algebra system like LiveMath™  you will never miss a minus sign again!
Although the driving of a computer algebra system requires some upfront time to learn and master, once completed (rather quickly for most students), the time saved from having to be a "minus sign accountant" adds to the productivity of your study time. If you have ever spent hours looking for that "little numerical error", you know what we mean.
Command of a computer algebra software system is a modernday necessity of mathematical academics. It is important, however, to retain a meaningful command of paper/pen/pencil manual computations as well. Our blend of curriculum strives for an 80%/20% split between computer algebra usage and manual computation and written skills. With each module in our curriculum, a concluding Literacy Sheet assignment ensures that each student has written mathematical competency in the subject area.
The proctored final exam is a written exam away from the computer. It is these Literacy Sheet assignments, and the continuing bridge from modern computer algebra software back to classical, manual mathematics that prepares the student from this written final exam.
We do not have any multiplechoice work. We are a real collegiatelevel course program  not a "canned" set of multiplechoice question sheets which are common from large publishers and degreemill schools.
Multivariable Calculus Online Course for Credit Example Curriculum
Videotext  A Modern Replacement of the Textbook
What is a videotext? It is like a textbook, except instead of being based upon printed information, this "text" is based upon video presentations as the core method of explaining the course topics. Instead of a huge, thick 1000page Calculus textbook to lug around in your backpack, all of this new "videotext" can be loaded into your iPods or iPhones (and soon, the iPad!).
Example Videos are in MP4/H.264 format, which will play in all modern web browsers.
Our videotext features two main types of videos:
 Screencast Videos using LiveMath™ Play Demo
Although we are anywhere from a few miles to a few thousand miles apart, watching these screencast videos is like sitting next to the course instructor, watching his computer, learning the topics of Calculus at the same time as learning how to drive the computer algebra and graphing software LiveMath™. These LiveMath™ screencast videos make up the majority of the video presentations in the videotext.
 Screencast Videos using LiveMath™ Play Demo
Although we are anywhere from a few miles to a few thousand miles apart, watching these screencast videos is like sitting next to the course instructor, watching his computer, learning the topics of Calculus at the same time as learning how to drive the computer algebra and graphing software LiveMath™. These LiveMath™ screencast videos make up the majority of the video presentations in the videotext.
Multivariable Calculus Screencast Video Questions
One extremely powerful aspect of the Distance Calculus course technologies is the usage of screencast video (and audio) recordings made by the students and the instructors, exchanged just as easily as emails back and forth.
If a picture is worth a thousand words, then a screencast movie is worth a million words  and saves boatloads of time and effort.
Instead of trying to type out a math question about a particular topic or homework question, the ease of "turning on the screen recorder" and talking and showing your question  in the span of a few minutes  can save hours of time trying to convert your question into a typed (and coherent) narrative question.
Example Instructor Question/Answer Movie
When a student asks a question in a homework notebook, sometimes the best way to explain the answer is via a screen movie.
 Instructor Question/Answer Movie Play Video
 Instructor Question/Answer Movie Play Video
 Instructor Question/Answer Movie Play Video
Distance Calculus  Student Reviews
Date Posted: Jan 13, 2020
Review by: Daniel Marasco
Courses Completed: Multivariable Calculus
Review: This course was more affordable than many, and the flexible format was terrific for me, as I am inclined to work very diligently on tasks on my own. It could be dangerous for a person who requires external discipline more, but it works well for selfstarters, allowing you to prioritize when you have other pressing work. I was a full time teacher adding a math certification, and this course allowed me to master the math while working around my teaching schedule and fitting work into moments here and there when I had time. I was able to transfer the credits to Montana State University, Bozeman for my teaching internship program without a hitch. The instructors were all very helpful and patient, even when I failed to see a ridiculously simple solution on one problem after 20 emails back and forth. Overall, I was more pleased with my experience in this class than I was with any of my other 9 courses.
Transferred Credits to: Montana State University, Bozeman
Date Posted: Jan 19, 2020
Review by: Dan P.
Courses Completed: Calculus I, Calculus II
Review: I found the courses to be informative, enjoyable, and most importantly, effective in helping me learn the concepts of calculus. My math skills were always very weak, and I had a great deal of difficulty passing my undergrad math courses. The pace of a traditional classroom setting was just too quick for the concepts to really sink in. With Distance Calculus, I had courses that were taught with the full rigor of an oncampus class, but where I could take my time and really learn the material...all while having access to toptier instructional help for real math professors and assistants. DC gave me the tools and the confidence I needed, so after successfully passing my DC courses, I moved on and completed a master's degree in CS.
Date Posted: Apr 29, 2020
Review by: Harlan E.
Courses Completed: Calculus I, Calculus II
Review: I did not do well in AP Calculus during my senior year in high school. Instead of trying to cram for the AP exam, I decided to jump ship and go to Distance Calculus to complete Calculus I. This was awesome! I finished Calculus I in about 6 weeks, and then I kept going into Calculus II. I started as a freshman at UCLA with both Calculus I and II done!
Transferred Credits to: University of California, Los Angeles