Math 1A - UC Berkeley Department of Mathematics

Course Format: Three hours of lecture and two hours of discussion/workshop per week; at the discretion of the instructor, an additional hour of discussion per week.

Prerequisites: Three and one-half years of high school math, including trigonometry and analytic geometry, plus a satisfactory grade in one of the following: CEEB MAT test, an AP test, the UC/CSU math diagnostic test, or 32. Consult the mathematics department for details. Students with AP credit should consider choosing a course more advanced than 1A.

Credit Option: Students will receive no credit for 1A after taking 16B and 2 units after taking 16A.

Description: This sequence is intended for majors in engineering and the physical sciences. An introduction to differential and integral calculus of functions of one variable, with applications and an introduction to transcendental functions. (F,SP)

Textbook: Stewart, Single Variable Calculus - Early Transcendentals for UC Berkeley

Outline of the Course:

Chapter 1: Functions and Models	6 hours
Omit Section 1.4. Spend 2 hours on Section 1.6. Trigonometric functions appear in Chapter 1. They are reviewed in Appendix D.
Chapter 2: Limits and Derivatives	9 hours
Chapter 3: Differentiation Rules	8 hours
Omit Sections 3.7 and 3.11. Sections 3.8 and 3.10 could be treated as reading assignments combined with brief prior treatments in lecture.
Chapter 4: Applications of Differentiation	8 hours
Omit Section 4.6. Section 4.8 (Newton's method) could be deemphasized - exam questions on this topic seem inappropriate.
Chapter 5: Integrals	7 hours
Chapter 6: Applications of Integration	2 hours
Cover only Sections 6.1-6.3.
Total	40 hours
Midterms	2 hours
Holidays & Reviews	3 hours
	45 hours

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