MA 411. Advanced Calculus

General Information
- Time: Tue & Thu. 9:30 AM - 10:45 AM
- Place: CAS 216
- Prerequisite: MA 225 or 230, MA 242 or 442
- Text book: R. Wrede, M. Spiegel, Advanced Calculus (Schaums Outline Series), 3rd Ed. McGraw-Hill. ISBN:978-0-07-162366-7.
- Course description
- Syllabus
Instructor: Yoosik Kim
- Email: yoosik (at) bu (dot) edu
- Office hours (MCS 237B): Mon. 3 PM - 5 PM , Thu 11 AM - 12 PM, or by appointment

Homework
- Homework 1 (Sep. 7th)
- Homework 2 (Sep. 14th) - Hint
- Homework 3 (Sep. 21st) - Hint
- Homework 4 (Sep. 28th) - Hint
- Homework 5 (Oct. 5th) - Hint
- Homework 6 (Oct. 12th) - Hint
- Practice Problems for mid - Hint
- Homework 7 (Oct. 19th) - Hint
- Homework 8 (Oct. 26th) - Ans
- Homework 9 (Nov. 2nd) - Hint
- Homework 10 (Nov. 9th) - Hint
- Homework 11 (Nov. 16th) - Hint
- Homework 12 (Nov. 23rd) - Hint
- Homework 13 (Nov. 30th) - Hint
- Practice Problems for final - Hint (corrected on Dec 14th)

Quizzes
- Quiz 0 (Sep. 12th) - Prob/ Ans
- Quiz 1 (Sep. 19th) - Prob/ Ans
- Quiz 2 (Sep, 26th) - Prob/ Ans
- Quiz 3 (Oct. 3rd) - Prob/ Ans
- Quiz 4 (Oct. 12th) - Prob/ Ans
- Quiz 5 (Oct. 17th) - Prob/ Ans
- Quiz 6 (Oct. 31th) - Prob/ Ans
- Quiz 7 (Nov. 7th) - Prob/ Ans
- Quiz 8 (Nov. 14th) - Prob/ Ans
- Quiz 9 (Nov. 21st) - Prob/ Ans
- Quiz 10 (Nov. 28th) - Prob/ Ans
- Quiz 11 (Dec. 5th) - Prob/ Ans

Supplementary
- Lecture Note (Sep. 5th) - Review of Taylor series and Trig identities.
- Lecture Note (Sep. 7th) - Fourier series
- Lecture Note (Sep. 12th) - Fourier sine and cosine series
- Lecture Note (Sep. 14th) - Convergence theorem of Fourier series, Parseval's identity
- Lecture Note (Sep. 19th) - Review of sequences and series of numbers
- Lecture Note (Sep. 21st) - Review of tests for convergence/divergence of series
- Lecture Note (Sep. 26th) - Sequences and series of functions
- Lecture Note (Sep. 28th) - Pointwise convergence
- Lecture Note (Oct. 3rd) - Uniform convergence
- Lecture Note (Oct. 5th) - Why uniform convergence
- Lecture Note (Oct. 12th) - Weierstrass M-test
- Lecture Note (Oct. 17th) - Pointwise/uniform convergence of power series
- Lecture Note (Oct. 26th) - Pointwise/uniform convergence of Fourier series
- Lecture Note (Oct. 31st) - Integration and differentiation of Fourier series
- Lecture Note (Nov. 2nd) - Complex form of Fourier series
- Lecture Note (Nov. 7th) - Fourier transforms, Fourier integral theorem
- Lecture Note (Nov. 9th) - Parseval's identities, Gamma functions
- Lecture Note (Nov. 14th) - Gamma and beta functions
- Lecture Note (Nov. 16th) - Differentiation of several variable functions
- Lecture Note (Nov. 21st) - Jacobian matrices, linear approximation, chain rule
- Lecture Note (Nov. 28th) - Inverse function theorem
- Lecture Note (Nov. 30th) - Implicit function theorem
- Lecture Note (Dec. 5th) - Hessian matrices
- Lecture Note (Dec. 7th) - (The last example is Corrected!) Change of variables and Jacobians
Exams
- The midterm exam (Oct. 24th in class) - Prob/Sol
- The cumulative final exam (Dec. 19th, 9 - 11 AM, CAS 216) - Prob/Sol