===== Mathematics 450 - Fall 2016 ===== **Calendar** ^ August ^^^^^ ^ Monday ^ Tuesday ^ Wednesday ^ Thursday ^ Friday ^ |22 |23 |24 \\ Chapter 1 \\ [[.m450-f16-hw:hw-1|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-1.pdf|Review of Sets]] |25 |26 \\ Sections 2.1 and 2.2\\ [[.m450-f16-hw:hw-2|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-2.pdf|The Real Numbers I]] | |29 \\ Sections 2.2 and 2.3 \\ [[.m450-f16-hw:hw-3|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-3.pdf|The Real Numbers II]] |30 |31 \\ Sections 2.3 and 2.4 \\ [[.m450-f16-hw:hw-4|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-4.pdf|The Real Numbers III]] | | | ^ September ^^^^^ ^ Monday ^ Tuesday ^ Wednesday ^ Thursday ^ Friday ^ | | | |1 |2 \\ Section 3.1 \\ [[.m450-f16-hw:hw-5|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-5.pdf|Metric Spaces]] \\ Problem Set # 1 | |5 \\ Labor Day |6 |7 \\ Section 3.2 \\ [[.m450-f16-hw:hw-6|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-6.pdf|Open Sets]] |8 |9 \\ Section 3.3 \\ [[.m450-f16-hw:hw-7|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-7.pdf|Convergent Sequences]] \\ Problem Set # 2 | |12 \\ Section 3.3 \\ [[.m450-f16-hw:hw-8|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-8.pdf|Sequences of Real Numbers]] |13 |14 \\ Section 3.4 \\ [[.m450-f16-hw:hw-9|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-9.pdf|Complete Metric Spaces]] |15 |16 \\ Section 3.5 \\ [[.m450-f16-hw:hw-10|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-10.pdf|Compact Spaces]] \\ Problem Set # 3 | |19 \\ Section 3.5 \\ [[.m450-f16-hw:hw-11|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-11.pdf|The Heine-Borel Theorem]] |20 |21 \\ Sections 3.6 and 4.1 \\ [[.m450-f16-hw:hw-12|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-12.pdf|Connectedness and Continuity]] |22 |23 \\ Sections 4.1 and 4.2 \\ [[.m450-f16-hw:hw-13|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-13.pdf|Continuity and Limits]] \\ Problem Set # 4 | |26 \\ Section 4.3 \\ [[.m450-f16-hw:hw-14|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-14.pdf|Real-valued Continuous Functions]] |27 |28 \\ Section 4.4 \\ [[.m450-f16-hw:hw-15|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-15.pdf|Continuous Functions on Compact Spaces]] |29 |30 \\ Section 4.5 \\ [[.m450-f16-hw:hw-16|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-16.pdf|Continuous Functions on Connected Spaces]] \\ Problem Set # 5 | ^ October ^^^^^ ^ Monday ^ Tuesday ^ Wednesday ^ Thursday ^ Friday ^ |3 \\ Section 4.6 \\ [[.m450-f16-hw:hw-17|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-17.pdf|Sequences of Functions]] |4 |5 \\ Section 4.6 \\ [[.m450-f16-hw:hw-18|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-18.pdf|The Metric Space C(E)]] |6 |7 \\ Section 5.1 \\ [[.m450-f16-hw:hw-19|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-19.pdf|The Derivative]] \\ Problem Set # 6 | |10 \\ Section 5.2 \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-20.pdf|Rules of Differentiation]] |11 \\ Middle of the term |12 \\ Section 5.3 \\ [[.m450-f16-hw:hw-21|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-21.pdf|The Mean Value Theorem]] |13 |14 \\ Section 5.4 \\ [[.m450-f16-hw:hw-22|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-22.pdf|Taylor's Theorem]] | |17 \\ Fall break |18 \\ Fall break |19 \\ Section 6.1 \\ [[.m450-f16-hw:hw-23|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-23.pdf|The Riemann Integral]] |20 |21 \\ Problem Set # 7 \\ Section 6.2 \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-24.pdf|Properties of the Riemann Integral]] | |24 \\ Section 6.3 \\ [[.m450-f16-hw:hw-25|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-25.pdf|Integrability Conditions]] |25 |26 \\ Section 6.4 \\ [[.m450-f16-hw:hw-26|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-26.pdf|Additive Property of Integrals]] |27 |28 \\ Section 6.5 \\ [[.m450-f16-hw:hw-27|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-27.pdf|The Fundamental Theorem of Calculus]] \\ Problem Set # 8 | |31 \\ Section 6.6 \\ [[.m450-f16-hw:hw-28|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-28.pdf|The Logarithmic and Exponential Functions]] | | | | | ^ November ^^^^^ ^ Monday ^ Tuesday ^ Wednesday ^ Thursday ^ Friday ^ | |1 |2 \\ Section 6.6 \\ [[.m450-f16-hw:hw-29|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-29.pdf|Properties of Exponential Functions]] |3 |4 \\ Section 7.1 \\ [[.m450-f16-hw:hw-30|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-30.pdf|Interchange of Limit Operations]] \\ Problem Set # 9 | |7 \\ Section 7.2 \\ [[.m450-f16-hw:hw-31|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-31.pdf|Infinite Series]] |8 |9 \\ Section 7.2 \\ [[.m450-f16-hw:hw-32|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-32.pdf|Tests for Convergence]] |10 |11 \\ Section 7.2 \\ [[.m450-f16-hw:hw-33|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-33.pdf|Rearrangements]] \\ Problem Set # 10 | |14 \\ Section 7.3 \\ [[.m450-f16-hw:hw-34|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-34.pdf|Series of Functions]] |15 |16 \\ Section 7.3 \\ [[.m450-f16-hw:hw-35|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-35.pdf|Operations on Power Series]] |17 |18 \\ Section 7.3 \\ [[.m450-f16-hw:hw-36|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-36.pdf|Taylor Series]] \\ Problem Set # 11 | |21 \\ Section 7.4 \\ [[.m450-f16-hw:hw-37|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-37.pdf|Trigonometric Functions]] |22 |23 \\ Thanksgiving |24 \\ Thanksgiving |25 \\ Thanksgiving | |28 \\ Sections 7.5 - 8.1 \\ [[.m450-f16-hw:hw-38|Problems]] \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-38.pdf|Two Theorems]] |29 |30 \\ Section 8.3 \\ [[http://dananne.org/fu/courses/math-450/lectures/lecture-39.pdf|Differential Equations]] | | ^ December ^^^^^ ^ Monday ^ Tuesday ^ Wednesday ^ Thursday ^ Friday ^ | | | |1 |2 \\ Section 8.3 \\ Differential Equations (cont'd) \\ Problem Set # 12 | |5 \\ Last day of class |6 |7 |8 |9 | |12 |13 |14 |15 |16 |