Math 34B
Course Outline

TEXT: "Calculus and Mathematical Reasoning for Social and Life Sciences" by Daryl Cooper.

Kendall/Hunt Publishing Co., 2000.

• Lec 01: Review of differential calculus -- ch. 8
• Lec 02: Signed area under the graph -- (5.3) 9.1
• Lec 03: The definite integral -- 9.2
• Lec 04: Indefinite integral, Fundamental theorem of calculus -- 9.3
• Lec 05: Integral as a sum, average of a function -- 9.4, 9.5
• Lec 06: FTC for definite integrals -- 9.6
• Lec 07: Word problems -- ch. 11
• Lec 08: Calculus review -- ch. 10
  
     [exam 1]
  
  
• Lec 09: Sine wave -- 12.1
• Lec 10: The product rule -- 12.2
• Lec 11: 2^nd derivative test, order of smallness -- 12.3, 12.4
• Lec 12: Growing/Damped oscillations, power series approximation -- 12.5, 12.6
• Lec 13: Differential equations, constants of integration -- 13.1, 13.2
• Lec 14: Growth/Decay equation -- 13.3
• Lec 15: Long time behavior, graphing solutions -- 13.4, 13.5
• Lec 16: Isoclines -- 13.6
• Lec 17: Exponential decay to a limiting value -- 13.7
• Lec 18: Logistic equation -- 13.8
• Lec 19: Review
  
     [exam 2]
  
  
• Lec 20: Functions of two variables -- 15.0
• Lec 21: Planes -- 15.1
• Lec 22: Partial derivatives, tangent planes -- 15.2
• Lec 23: Tangent plane approximation -- 15.3
• Lec 24: Max/Min of a function of two variables -- 15.4
• Lec 25: Review of multivariate calculus -- ch. 15
• Lec 26: Overall review
• Lec 27:
  
     [final exam]