Math 16A
Math 16A  Analytic Geometry and Calculus  [3 units]
Course Format: Three hours of lecture, one and onehalf hours of discussion per week.
Prerequisites: Three years of high school math, including trigonometry, plus a satisfactory grade in one of the following: CEEB MAT test, an AP test, the UC/CSU math diagnostic exam, or 32. Consult the mathematics department for details.
Credit Restrictions: Students will receive no credit for 16A after taking 1A.
Description: Calculus of one variable; derivatives, definite integrals and applications, maxima and minima, and applications of the exponential and logarithmic functions. The sequence Math 16A, 16B is intended for students outside the physical sciences and engineering whose major requirements are satisfied by one or both courses, and who do not plan to take more advanced mathematics courses. (F,SP)
Textbook: Lial, Greenwell, Ritchey, Calculus with Applications, 11th Edition
Outline of the Course:
Chapter 1: Linear Functions 
2 hours 
Linear functions, straight lines, supply and demand, revenue, profit, cost. 

Chapter 2: Nonlinear Functions 
4 hours 
Properties of functions, quadratic functions, exponential and logarithmic functions, compound interest. 

Chapter 3: The Derivative 
7 hours 
Limits, continuity, rate of change, the derivative, graphical methods. 

Chapter 4: Calculating the Derivative 
6 hours 
Techniques for finding the derivative, the product and quotient rules, the chain rule, derivatives of exponential and logarithmic functions. 

Chapter 5: Graphs and Derivatives 
5 hours 
Increasing and decreasing functions, relative extrema, higher derivatives and concavity, curve sketching. 

Chapter 6: Applications of the derivative 
6 hours 
Absolute extrema, optimization applications, economics applications, implicit differentiation, related rates. 

Chapter 7: Integration 
8 hours 
Antiderivatives, substitution, area and the definite integral, the fundamental theorem of calculus, areas between curves, consumer surplus. 

Total 
38 hours 
Midterms & Holidays 
4 hours 
Reviews
are appropriate during the RRR week. 
42 hours 
The total number of class hours may vary during the Fall and Spring semesters. 