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