# MATH 142: Calculus II

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MATH 141

## This course is a prerequisite or co-requisite for

Nearly all math courses require the first year calculus sequence or equivalent (MATH 141 - 143, MATH 161 - 162, or MATH 171 - 172). Two years of calculus are required to major in mathematics. Most science courses require between one and two years of calculus. See Comparing the Calculus Sequences.

## Description

• A continuation of MATH 141. Introduces the techniques of the integral calculus of functions.

• Reinforces algebraic manipulation and trig techniques learned in high school.

• Provides tools for use in other disciplines, although most examples come from geometry, graphs and the simple physics of motion.

• Rigorous proofs, providing guarantees that the techniques always work if certain criteria are met, are left to later courses in analysis such as MATH 265.

## Topics covered

Calculus of algebraic, logarithmic, exponential, and trigonometric functions and their inverses. The definite integral, the fundamental theorem of calculus, geometric and physical applications including areas, volumes, work, and arc length. Techniques of integration including substitution rule, integration by parts, trigonometric substitution, partial fractions. Improper integrals.