Math 1a (Section 1) Freshman Mathematics Fall 2014-15
 MTWF 10:00 AM // 151 Sloan
 Course Description | Policies | Textbooks | Lecture Notes | Handouts | Homework | Sections

 Instructor:  Jay Williams, 256 Sloan, (626) 395-4338, jaywill@caltech.edu Office Hours:  Th 2-3 PM, F 11 AM-12 PM Lead TA: Daiqi (Kevin) Linghu (626) 395-4366, dlinghu@caltech.edu Office Hours:  Sun 11 AM-12 PM
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 Course Description

 Math 1a - Freshman Mathematics. This course has two main goals: Learning how to do explicit calculations Discovering some fundamental mathematical properties, and in particular seeing some mathematical reasoning Both of these goals are mostly focused on the basic analysis of integrals and derivations, and some famous functions such as trigonometric functions and the exponential function. The following topics will be covered in this course: Mathematical Induction Completeness Functions Integral for Step Functions Integral for More General Functions Applications of Integration Limits Continuity Intermediate Value Theorem Inversion Extreme - Value Theorem Integrability Theorem Mean - Value Theorem for Integrals Derivatives Implicit Differentiation Extreme Values Mean - Value Theorem for Derivatives Curve Sketching Fundamental Theorem of Calculus Integration by Substitution Integration by Parts Logarithm Exponential Function Integration by Partial Fractions Complex Numbers

 Policies

 Homework policies can be found here.

 Textbooks

 Text: Calculus Volume 1, Tom M. Apostol ISBN 0-471-00005-1

 Lecture Notes

 Date Description Course outline

 Handouts

 Date Description Due Tues. Nov. 4 at 12 noon Midterm Due Thurs. Dec. 11 at 12 noon Final

 Homework

 Due Date Homework Solutions Week 1 Tuesday, Wednesday, Friday Solutions Week 2 Monday, Tuesday, Wednesday, Friday Solutions Week 3 Monday, Tuesday, Wednesday, Friday Solutions Week 4 Monday, Tuesday, Wednesday Solutions Week 6 Monday, Tuesday, Wednesday, Friday Solutions Week 7 Monday, Tuesday, Wednesday, Friday Solutions Week 8 Week 8 Solutions Weeks 9-10 Final week Solutions

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