All numbers indicate sections from Kosmala Second Edition.
R is for the reading assignment
C is for exercises that are assigned and will be collected
NC is for exercises that are assigned but will not be collected
Monday |
Wednesday |
Friday |
Jan. 29 Lecture: Taylor's Theorem Homework: R 5.4 C Final Exam C Additional Problem NC 5.4: 2b |
Jan. 31 Lecture: L' Hospital's Theorem Homework: R 5.5 C 5.5:6b C Additional Problem NC 5.5: 6ac |
Feb. 2 Lecture: Darboux Intermediate Value Theorem Partitions of an Interval Homework: R 6.1 C 5.5: 3 |
Feb. 5 Homework Due: Through Jan. 31 Lecture: Upper and Lower Darboux Sums Riemann Integrals Homework: R 6.2 C 6.1: 2,3 C Additional Problem NC 6.1: 5 |
Feb. 7 Lecture: Integrable Functions Homework: R 6.3 C 6.1: 7,8,10 NC 6.1: 6 |
Feb. 9 Math Modeling Competition |
Feb. 12 Homework Due: Through Feb. 7 Lecture: More L'Hospital Monotone Functions Homework: C 6.1: 11 C 6.2: 1,2 NC 6.2: 5 |
Feb. 14 Lecture: Continuous Functions Properties of Integrals Homework: C 6.2: 3,11,12 |
Feb. 16 Lecture: Subdividing Intervals Homework: C 6.1: 6 C 6.3: 1a,2,3 |
Feb. 19 Homework Due: Homework Through Feb. 14 Lecture: Finite Changes in Functions Composition of Integrable Functions Homework: R 6.4 C 6.3: 4,5,6 Office hours Canceled Today Happy President's Day |
Feb. 21 Lecture: Extended Definition of Integral Mean Value Theorems Homework: C Additional Problem NC 6.3: 8 |
Feb. 23 Lecture: Fundamental Theorem of Calculus Homework: C 6.3:10 C 6.4:2 NC 5.4:1 |
Feb. 26 Homework Due: Homework Through Feb. 21 Lecture: Second Fundamental Theorem of Calculus Integration by Substitution Homework: C 6.4: 5,9 |
Feb. 28 Lecture: Natural Log Function Exponential Function Homework: C 6.4:7k C Additional Problem |
March 2 Lecture: Differentiability of Exponential Function Improper Integrals Homework: R 6.5 C Additional Problem |
March 5 Homework Due: Through Feb. 28 Lecture: Improper Integrals Homework: R 6.6 C 6.5: 1,2,4 NC 6.5: 3ab |
March 7 Lecture: Improper Integrals Gamma Function Homework: C Additional Problem C 10cf NC 10eh |
March 9 Lecture: Converges of Functions Homework: C Study for Exam C Remember to Know your Theorems |
March 12 Exam 1 |
March 14 Homework Due: Through March 7 Lecture: Uniform Convergence Homework: C Additional Problem |
March 16 Lecture: Uniform Norm on Bounded Functions Uniform Limits of Continuous Functions Homework: C Additional Problem |
March 19 Lecture: Uniform convergence and Integrals Uniform convergence and Derivatives Homework: C Additional Problem |
March 21 Homework Due: Homework Through March 16 Lecture: S and C functions Homework: C Additional Problem |
March 23 Lecture: Uniqueness of S and C Homework: C Additional Problem |
March 26 Office Hours Moved to Tuesday 2:30-4 Lecture: Sum formulas for S and C Pi Sin and Cos Homework: C Additional Problem |
March 28 Homework Due: Homework Through March 23 Lecture: Formulas for Sin and Cos Homework: R 7.1 C Additional Problem |
March 30 Lecture: Derivative of Sin and Cos Series Homework: R 7.3 C Additional Problem NC 7.1: 6 |
April 2 Spring Break |
April 4 Spring Break |
April 6 Spring Break |
April 9 Spring Break |
April 11 Lecture: Power Series Homework: R 8.4 C 7.1: 4abe,17 C 8.5: 1,3ade (just find radius) NC 8.5: 3gh |
April 13 Homework Due: Through March 30 Lecture: Integrals of power series Homework: C Additional Problem |
April 16 Lecture: Derivatives of power series Homework: C Additional Problem |
April 18 Homework Due: Homework Through April 13 Lecture: Radius of Convergence Homework: C Additional Problem |
April 20 Lecture: Radius of Convergence Distance Homework: C 8.5: 7,18a,19 NC 8.5: 16 |
April 23 Lecture: Metric Spaces Normed Vector Spaces Homework: C Additional Problem |
April 25 Homework Due: Through April 20 Lecture: Examples of norms on R^n Cauchy-Schwarz on R^n Homework: C Additional Problem |
April 27 Lecture: 2 norm on R^n Questions for Exam Homework: C Study for Exam |
April 30 Exam 2 |
May 2 Lecture: L^p spaces Homework: C Additional Problem |
May 4 Homework Due: Through April 30 Lecture: Open and Closed Sets Homework: C Additional Problem |
May 7 Lecture: Continuous Functions Subspaces Homework: C Additional Problem |
May 9 Lecture: Complete Spaces Compact Spaces Homework: C Additional Problem |
May 11 Lecture: Sequential Compact Homework: C Extra Credit Problem |
May 14 Homework Due: Rest of Homework Lecture: Questions for the Final Homework: C Study for Exam NC Enjoy Life |
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Wednesday, May 16 at 8:00 am |