Math 402 - Course Syllabus
Prerequisites: The official prerequisite for this course is Math 401 (Calculus II) with a grade of C or better.
Textbook: Calculus - Early Transcendental and MyMathLab (2nd edition), by Briggs and Cochran, is available in bookstore. All of your homework assignments will be completed in MyMathLab. The textbook will be useful for examples and explanations of the material covered.
Computer: Computer assignments will be made and may be completed either in the LRC or at home (providing your computer has the following specs and software).
|Mac OS 10.8/10.7 (Lion) or 10.6. (Snow Leopard)
Firefox, Safari, Chrome
|Refer to MyMathLab website for additional free/required plug-ins.|
Material to be Covered: Chapters 11 - 14
This course is a continuation of MATH 401. It extends the concepts of limits, derivatives, and integrals to vector-valued functions and multi-variable functions. The topics include: multi-variable functions, partial derivatives, extrema of multi-variable functions, iterated integrals, development of vector calculus, line integrals, three dimensional analytic geometry, and Green's, Gauss' (Divergence), and Stokes' Theorems. Many applications of calculus are also covered.
Learning Outcomes and Objectives
Upon completion of this course, the student will be able to:
· analyze and graph two and three dimensional functions, vectors, vector-valued functions, and geometric surfaces and solids in order to solve for various geometric quantities and to represent motion in space.
· perform vector operations: addition, subtraction, scalar multiplication, dot products, and cross products.
· determine the equations of lines and planes in space, including tangent planes to a surface.
· find the limit of a multivariate function at a point and determine the differentiability of a multivariate function.
· evaluate partial derivatives and apply them to find local extrema and test for saddle points of multivariate functions.
· apply Lagrange multipliers to solve optimization problems with constraints.
· compute the arc length of a curve.
· set up and evaluate iterated integrals in rectangular, cylindrical, and spherical coordinates to calculate the area, volume, mass, and center of mass for a surface or solid.
· find the gradient of a scalar field and the divergence and curl of a vector field.
· set up and evaluate line and surface integrals using Green's, Gauss', and Stokes' Theorems and use results to solve application problems involving vector fields.
Scientific Calculator: A scientific calculator is required and will be needed as soon as possible. A graphing programmable calculator, such as a TI 83/84, is recommended (but more expensive). Due to advancements with calculator technology regarding computer algebra systemsalong with file storage and cell phone apps that feature symbolic algebra capabilities, this technology (such as TI 89 or TI Inspire, or any cell/smart phone) will NOT be permitted on chapter exams or final exam. However, you may choose to use such calculators/apps on HW and in-class quizzes. If you go this route, I encourage you to also practice concepts/problems without this technology in preparation for all exams.
Determination of Your Grade: Your grade in this class will be based on your scores on the exams, quizzes/homework, and final. The total points possible are the following...
|4 Exams (100 points each)||65% of grade|
|In (and Out) Quizzes - some collaborative, but always w/notes||5% of grade|
|Online Homework(MyMathLab)||10% of grade|
|Comprehensive Final Exam||20% of grade|
For grading purposes, your lowest 100 point exam may be replaced with your final exam percent score (if higher) - thus, no late make-ups are permitted. Since I do provide several opportunities for "bonus" quizzes/MML HW there will also be no make-ups on quizzes or homework.
Grading will be by percentage...
|89.5 - 100% = A||69.5 - 79.4% = C|
|79.5 - 89.4% = B||
59.5 - 69.4 = D
Math 402 FAQ (PDF format) - available to print.
MyMathLab - Registration Instructions (PDF format) - available to print.
Reality Check - Review of Math 400/401 Handout (PDF) - available to print.