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Dec 26, 2024
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MAT 202 - Calculus 2
Credits: 4
4 Lecture Hours
Prerequisites: MAT 201
Description
In this course, students continue to study mathematical concepts introduced in MAT 201.
Students explore topics such as applications of the definite integral, techniques of integration, improper integrals and infinite series. Additionally, students learn to work with polar coordinates, parametric equations and vectors in two and three-dimensional spaces. Students are also introduced to differential equations.
Learning Outcomes
Upon successful completion of the course, the student will:
- Compute volumes of solids of revolution.
- Evaluate integrals using integration by parts, partial fraction decomposition, trigonometric substitution and other substitution techniques.
- Analyze improper integrals.
- Determine whether infinite sequences and infinite series converge or diverge.
- Construct the interval of convergence of a power series.
- Develop Taylor series to represent given functions.
- Solve selected application problems.
- Perform operations on vectors in two and three-dimensional space.
- Produce the equations of lines and planes in three-dimensional space.
- Apply calculus to functions represented by parametric equations and polar coordinates.
- Solve introductory differential equations.
Listed Topics
- Applications of integration
- Improper integrals
- Techniques of integration
- Approximate integration
- Infinite sequences and series
- Three dimensional analytic geometry: the three dimensional coordinate system, lines and planes
- Vectors in two and three-dimensional space
- Calculus of parametric equations
- Polar coordinates, including graphing, area and arc length
- Separable differential equations
- Linear differential equations
Reference Materials
Each student is required to have a textbook/e-book/homework system adopted by the Mathematics Department at the specific campus.
Students who successfully complete this course acquire general knowledge, skills and abilities that align with CCAC’s definition of an educated person. Specifically, this course fulfills these General Education Goals: - Critical Thinking & Problem Solving
- Quantitative & Scientific Reasoning
Approved By: Dr. Quintin B. Bullock Date Approved: 5/8/2023
Last Reviewed: 5/8/2023
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