Calculus II with Applications (Fall, 2024)

Department of Mathematics & Statistics, Texas Tech University

Reference Book

Calculus by Smith/Strauss/Toda 7th Edition.

Material Covered
  • 08/22 - Introduction to integration, 6.1 Area between two curves - Recording 1, Recording 2

  • 08/27 - 6.1 Area between two curves (cont.), 6.2 Finding Volumes - Recording 1, Recording 2

  • 08/29 - 6.2 Finding Volumes and some Exercises.

  • 09/03 - 6.3 Polar Forms and Area.

  • 09/05 - 6.3 Polar Forms and area, Some Exercise.

  • 09/10 - 6.4 Arc Length, 6.5 Work and Spring Problems.

  • 09/12 - 6.5 Work and Tank Problems, 6.5 Hydrostatic Problems.

  • 09/17 - 6.5 Hydrostatic force problems, 6.5 Moments and center of mass.

  • 09/19 - Exam I

  • 09/24 - 7.1 - Integration by substitution, 7.2 - Integration by parts.

  • 09/26 - 7.2 Integration by parts, 7.3 Trig substitution.

  • 10/01 - 7.3 Trig Substitution

  • 10/03 - 7.4 Integrating Rational Functions

  • 10/08 - 7.5 Improper Integrals

  • 10/10 - 7.6 Hyperbolic Trigonometry

  • 10/15 - 8.1 Sequences

  • 10/17 - Exam II

  • 10/22 - 8.2 Infinite Series

  • 10/24 - 8.3 Divergence Test and Integral Test

  • 10/29 - 8.4 Comparison Tests, 8.5 Ratio Test

  • 10/31 - 8.5 Root Test, 8.6 Alternating Series Test

  • 11/05 - 8.7 Power Series

  • 11/07 - 8.8 Taylor Series

  • 11/12 - What Taylor Series Really Do, 9.1 - Vectors

  • 11/14 - 9.2 Dot Product, 9.3 Cross Product

  • 11/19 - Review Questions

  • 11/21 - Exam III

  • 11/26 - Review Questions

  • 12/03 - Review Questions