MATH 132 Calculus II
Course Information
| Course Number | MATH 132 |
|---|---|
| Course Title | Calculus II |
| Description | In this continuation of Calculus I, you will begin by investigating more applications of the definite integral, along with useful techniques for evaluating them. This leads in a natural way to a brief introduction to differential equations, and the evaluation of improper integrals and indeterminate forms. Next the calculus of the transcendental functions is explored in some detail. Then the study of sequences and series is taken up, including power series and Taylor series. Important geometrical concepts such as polar coordinates, parametric equations and vectors in the plane and in space are also covered. |
| Total Credits | 4 |
| Total Hours | 80 |
| Instruction Type | Credits and Hours |
|---|---|
| Lecture | 3 Credits, 60 Hours |
| Lab | 1 Credit, 20 Hours |
Pre/Corequisites
None
Institutional Core Competencies
- Critical and Creative Thinking - Students will be able to demonstrate purposeful thinking with the goal of using a creative process for developing and building upon ideas and/or the goal of using a critical process for the analyzing and evaluating of ideas.
Course Competencies
- Apply definite integrals to volume problems
- Apply definite integrals to arc length problems
- Apply definite integrals to problems involving work
- Apply definite integrals to problems involving fluid forces
- Calculate moments and centers of mass
- Describe the natural logarithm as an integral
- Complete the calculus of trigonometric functions
- Define the exponential function as the inverse of the logarithm function
- Apply the calculus to the inverse trigonometric functions
- Apply the calculus to the hyperbolic functions
- Develop techniques of integration
- Evaluate limits of certain indeterminate forms
- Evaluate improper integrals
- Determine convergence or divergence of sequences
- Explain the concept of infinite series
- Determine convergence or divergence of infinite series of non-negative terms
- Determine convergence or divergence of infinite series with alternating terms
- Define power series
- Represent functions by special power series
- Develop the properties of vectors in a plane
- Carry out operations on vectors in a plane
- Graph functions in the polar plane
- Develop the calculus of polar curves
- Model geometric concepts with vectors in space
- Apply operations to vectors in space
SCC Accessibility Statement
South Central College strives to make all learning experiences as accessible as possible. If you have a disability and need accommodations for access to this class, contact the Academic Support Center to request and discuss accommodations.
North Mankato: Room B-132, (507) 389-7222; Faribault: Room A-116, (507) 332-7222.
Additional information and forms can be found at: southcentral.edu/disability
This material can be made available in alternative formats by contacting the Academic Support Center at 507-389-7222.