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