- Basic Course Information
- Course Description: This course is a study multi-variable Calculus. Some topics will include: vectors and geometry space, vector valued functions, functions of several variables, partial derivatives and multiple integration.
- Any required prerequisites: Students must make a C or better in Calculus II.
- Student Learning Outcomes
- Given an application, the student will discover an appropriate approach that leads to the correct solution by applying mathematical problem solving skills learned in class. Success will be measured using a straightforward right or wrong grading system but will be given multiple attempts for success.
- Given an application, the student will demonstrate arithmetic and algebraic manipulation skills by choosing the correct approach and computing the correct solution. Success will be measured using a straightforward right or wrong grading
system but will be given multiple attempts for success.
- Given an application, the student will devise and carry out a plan to successfully solve the task by applying and interpreting mathematical concepts learned in class. Success will be measured using a straightforward right or wrong grading system but will be given multiple attempts for success.
- Given an application, the student will determine the correct solution by experimenting with the multiple approaches learned in class. Success will be measured using a straightforward right or wrong grading system but will be given multiple attempts for success.
- Testing Requirements – ONLINE STUDENTS ONLY
- Students are required to take the final exam at a testing center. Students should find a testing center near their current location and give the details to their instructor.
- Students are allowed to use their book, notes and calculator while testing. However, students are required to make a 60 or higher on the final exam or they automatically fail the course.
- Major Course Requirements
- Major Requirement - There will be 4 major chapter exams
- Major Requirement - There will be a comprehensive final exam
- Information on Books and Other Course Materials
- Book: Calculus by William Briggs and Lyle Cochran. Textbook alone ISBN: 0321336119.
- Required Access Code: Online Students must purchase a MyMathLab Access Code. This code can be purchased stand alone or bundled with the textbook. MyMathLab stand alone (provides e-book) ISBN: 0321653998. A la carte version w/MML ISBN: 0321738829.
- Calculators: A TI-84 or higher is strongly recommended. A Graphing Calculator is required.
- Other Policies, Procedures and Important Dates
- Please refer to the WTC Course Catalog.
11.1 Parametric Equations
11.2 Polar Coordinates
11.3 Calculus in Polar Coordinates
11.4 Conic Sections
12.1 Vectors in the Plane
12.2 Vectors in Three Dimensions
12.3 Dot Products
12.4 Cross Products
12.5 Lines and Curves in Space
12.6 Calculus of Vector-Valued Functions
12.7 Motion in Space
12.8 Length of Curves
12.9 Curvature and Normal Vectors
13.1 Planes and Surfaces
13.2 Graphs and Level Curves
13.3 Limits and Continuity
13.4 Partial Derivatives
13.5 The Chain Rule
13.6 Directional Derivatives and the Gradient
13.7 Tangent Planes and Linear Approximation
13.8 Maximum and Minimum Problems
13.9 Lagrange Multipliers
14.1 Double Integrals over Rectangular Regions
14.2 Double Integrals over General Regions
14.3 Double Integrals in Polar Coordinates
14.4 Triple Integrals
14.5 Triple Integrals in Cylindrical and Spherical Coordinates
14.6 Integrals for Mass Calculations
14.7 Change of Variables in Multiple Integrals
15.1 Vector Fields
15.2 Line Integrals
15.3 Conservative Fields
15.4 Green’s Theorem
15.5 Divergence and Curl
15.6 Surface Integrals
15.7 Stokes’ Theorem
15.8 Divergence Theorem
August 19, 2015