Math136 - Real Analysis II - AY2025-2026 spring

Lectures

Date DOW Desc Seq Week Details
01/14 Wed Lecture 1 1 13.1: Limits; 13.2: partial derivatives
01/19 Mon Tufts 2 No classes: MLK Day
01/21 Wed Lecture 2 2 13.3: The Mean Value Theorem and directional derivatives
01/21 Wed Tufts 2 Academic Date: Last day to add a course
01/21 Wed Tufts 2 Tufts: Monday schedule
01/26 Mon Lecture 3 3 14.1: First order approximation, 14.2: quadratics, Hessian and 2nd derivs
01/28 Wed Lecture 4 3 14.3: Second order approximation
02/02 Mon Lecture 5 4 15.1: Linear maps and matrices; 15.2: derivative matrix, differential
02/04 Wed Lecture 6 4 15.3: The chain rule
02/09 Mon Lecture 7 5 16.1: Functions of a single variable and maps in the plane
02/11 Wed Lecture 8 5 16.2: Stability of non-linear maps
02/16 Mon Tufts 6 No classes: Presidents’ Day
02/18 Wed Lecture 9 6 midterm 1
02/18 Wed Exam 6 midterm 1
02/18 Wed Tufts 6 Academic Date: Last day to drop a course without record
02/23 Mon Lecture 10 7 16.3: Minimization principle and the general inverse function theorem
02/25 Wed Lecture 11 7 17.1: Dini’s Theorem
03/02 Mon Lecture 12 8 17.2: The general implicit function theorem
03/04 Wed Lecture 13 8 17.3: Equations of surfaces and paths in space
03/09 Mon Lecture 14 9 17.4: Constrained extrema problems
03/11 Wed Lecture 15 9 6.1: Darboux sums; upper and lower integrals
03/14 Sat Tufts 9 No classes: Spring Break
03/15 Sun Tufts 9 No classes: Spring Break
03/16 Mon Tufts 10 No classes: Spring Break
03/17 Tue Tufts 10 No classes: Spring Break
03/18 Wed Tufts 10 No classes: Spring Break
03/19 Thu Tufts 10 No classes: Spring Break
03/20 Fri Tufts 10 No classes: Spring Break
03/21 Sat Tufts 10 No classes: Spring Break
03/22 Sun Tufts 10 No classes: Spring Break
03/23 Mon Lecture 16 11 6.2: Archimedes Riemann Theorem
03/25 Wed Lecture 17 11 6.3: additivity, monotonicity, linearity
03/30 Mon Lecture 18 12 midterm 2
03/30 Mon Exam 12 midterm 2
04/01 Wed Lecture 19 12 6.4: continuity and integrabilty
04/01 Wed Tufts 12 Academic Date: Last day to withdraw from a course with W
04/01 Wed Tufts 12 Academic Date: Last day to select Pass/Fail Option
04/06 Mon Lecture 20 13 6.5: First fundamental theorem: integrating derivatives
04/08 Wed Lecture 21 13 6.6: Second fundamental theorem: differentiating integrals
04/13 Mon Lecture 22 14 Fourier Series 1
04/15 Wed Lecture 23 14 Fourier Series 2
04/20 Mon Tufts 15 No classes: Patriots’ Day
04/22 Wed Lecture 24 15 Fourier Series 3
04/27 Mon Lecture 25 16 Fourier Series 4
04/28 Tue Tufts 16 Academic Date: Reading Period
04/29 Wed Tufts 16 Academic Date: Reading Period
04/30 Thu Tufts 16 Academic Date: Reading Period
05/01 Fri Exam 16 final exam
05/01 Fri Tufts 16 Academic Date: Reading Period
05/01 Fri Tufts 16 Academic Date: Final Exam Period
05/02 Sat Tufts 16 Academic Date: Reading Period
05/02 Sat Tufts 16 Academic Date: Final Exam Period
05/03 Sun Tufts 16 Academic Date: Reading Period
05/03 Sun Tufts 16 Academic Date: Final Exam Period
05/04 Mon Tufts 17 Academic Date: Reading Period
05/04 Mon Tufts 17 Academic Date: Final Exam Period
05/05 Tue Tufts 17 Academic Date: Reading Period
05/05 Tue Tufts 17 Academic Date: Final Exam Period
05/06 Wed Tufts 17 Academic Date: Reading Period
05/06 Wed Tufts 17 Academic Date: Final Exam Period
05/07 Thu Tufts 17 Academic Date: Reading Period
05/07 Thu Tufts 17 Academic Date: Final Exam Period
05/08 Fri Tufts 17 Academic Date: Reading Period
05/08 Fri Tufts 17 Academic Date: Final Exam Period