Date	Reading	Topics
Tue, 4. Feb. 2020	Lecture Notes (Sloughter) Lecture Notes (Folland)	Review of Fundamental Theorem of Calculus, Taylor’s theorem
Fri, 7. Feb. 2020	Lecture Notes (Levermore) Notes, Sect. 11 (Ramakrishnan)	Uniform convergence, power series (start)
Tue, 11. Feb. 2020	(ctd.)	Power series (ctd.)
Fri, 14. Feb. 2020	Kantorovitz 1.1-1.3 (in parts)	Metric space review, compactness, normed vector spaces
Tue, 18. Feb. 2020	Rudin, 9.7, 9.8 Kantorovitz, 2.1	Linear maps, the derivative
Fri, 21. Feb. 2020	(ctd.)	Chain rule, directional derivative, gradient
Tue, 25. Feb. 2020	Kantorovitz 2.2	Higher derivatives
Fri, 28. Feb. 2020	Kantorovitz 3.2, 3.3 Rudin, 9.24, 9.28	Inverse and implicit function theorems
Tue, 3. Mar. 2020	(ctd.)	Inverse and implicit function theorems (ctd.)
Fri, 6. Mar. 2020	Kantorovitz 3.4	Lagrange multipliers
Tue, 10. Mar. 2020	Kantorovitz 3.5	Applications
Fri, 13. Mar. 2020		Review for Mock Midterm Exam
Tue, 17. Mar. 2020		Mock Midterm Exam
Fri, 20. Mar. 2020	Kantorovitz 4.1	Partial integrals
Tue, 24. Mar. 2020	(ctd.)	Changing order of integration
Fri, 27. Mar. 2020	Kantorovitz 4.2	Integration on general domains
Tue, 31. Mar. 2020	(ctd.)	Change of variables, polar, spherical, and cylinder coordinates
Fri, 3. Apr. 2020	Kantorovitz 4.3	Line integrals
Tue, 14. Apr. 2020	(ctd.)	Conservative fields, exact differentials, potentials
Fri, 17. Apr. 2020	Kantorovitz 4.4	Green’s theorem in two dimensions
Tue, 21. Apr. 2020	Kantorovitz 4.5	Surface integrals
Fri, 24. Apr. 2020	(ctd.)	Divergence theorem
Tue, 28. Apr. 2020	TBA	Fourier Integrals
Tue, 5. May 2020	TBA	Applications to linear PDEs of mathematical physics
Fri, 8. May 2020		(ctd.)
Tue, 12. May 2020	TBA	Outlook on complex analysis
Fri, 15. May 2020		Review for Final Exam