VMLC
Release-50

MATH 152 - Engineering Mathematics II

MATH 152 - Engineering Mathematics II teaser image

Differentiation and integration techniques and their applications (area, volumes, work), improper integrals, approximate integration, analytic geometry, vectors, infinite series, power series, Taylor series, computer algebra.

Additional Resources

Algebra Series

If you need an algebra refresher, the VMLC has an Algebra Series to help with quadratics, factoring, rational functions, exponentials, logarithms, and more. The series has videos explaining the concepts and practice problems you can try with video solutions. Click the link below to check it out. 

Algebra Series

Trigonometry Series

If you need an trig refresher, the VMLC has a new Trigonometry Series to help with trig functions, the unit circle, trig graphs, trig identities, and more. The series has videos explaining the concepts and practice problems you can try with video solutions. Click the link below to check it out. 

Trigonometry Series


Python Series

For help with Python, you can see our Python Instructional Video Series. Click the link below to check it out. 
Python Instructional Video Series

Summary

This course covers the content in Texas Common Course MATH 2414.

Sections

Module 1

Section 5.5 - The Substitution Rule Section 6.1 - Area

Module 2

Section 6.2 - Volumes (Disks, Washers, and by Slicing)

Module 3

Section 6.3 - Volume by Cylindrical Shells Section 6.4 - Work

Module 4

Section 7.1 - Integration by Parts Section 7.2 - Trigonometric Integrals

Module 5

Exam 1 Review Section 7.3 - Trigonometric Substitution

Module 6

Section 7.4 - Integration of Rational Functions by Partial Fractions Section 7.8 - Improper Integrals

Module 7

Section 11.1 - Sequences

Module 8

Section 11.2 - Series Section 11.3 - The Integral Test (including remainder estimate)

Module 9

Exam 2 Review Section 11.4 - The Comparison Tests Section 11.5 - Alternating Series

Module 10

Section 11.6 - Absolute Convergence and the Ratio Test (exclude Root Test) Section 11.8 - Power Series

Module 11

Section 11.9 - Representations of Functions as Power Series

Module 12

Section 11.10 - Taylor and Maclaurin Series Section 11.11 - Taylor Polynomials

Module 13

Exam 3 Review Section 10.1 - Curves Defined by Parametric Equations (brief review) Section 10.2 - Calculus with Parametric Curves (arc length and surface area only)

Module 14

Section 10.3 - Polar Coordinates Section 10.4 - Areas and Lengths in Polar Coordinates
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