MATH 162: Calculus II
|Prerequisites:||MATH 161 with a grade of C- or higher|
Description: A continuation of the resequenced Calculus I course, MATH 161. Techniques of integration. Applications of integration to topics such as volume, surface area, arc length, center of mass, and work. Introduction to multivariable calculus: vectors and matrices, functions of several variables, and double integrals. Introduction to differential equations.
Textbook for MATH 162 and MATH 162: Dwyer and Grunwald, “Calculus: Resequenced for Students in STEM”, Preliminary Edition, Wiley.
Note: MATH 162A uses a different textbook. Namely, James Stewart. Calculus, Early Transcendentals (WebAssign eBook) 8th ed. Cengage Learning. Be sure you are reading the correct information.
Review of prerequisite Material from MATH 161
9.2 Limits and Continuity
9.3 Partial Derivatives
9.4 Chain Rule
9.5 Directional Derivatives and Gradients
9.6 Tangent Planes and Linear Approximations
9.7 Extrema and the Second Partials Test
9.8 Lagrange Multipliers
10.2 Double Integrals Over Regions
10.3 Double Integrals in Polar Coordinates
10.4 Applications of Double Integrals
11.2 Separable Differential Equations
11.2 Optional: Graphical, Numerical Solutions to Differential Equations
11.3 Optional: Linear First-Order Differential Equations