Dept. Phone: (631)-632-4893

Dept. FAX: (631)-632-7631

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Dept. Phone: (631)-632-8290

Dept. FAX: (631)-632-7631

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MAT 319 R01 82270 MW 11:45am-12:40pm Earth-Space Science 181

MAT 319 R02 88825 MW 11:45am-12:40pm Frey Hall 309

MAT 319 R03 94829 MW 11:45am-12:40pm Socbehav Sci N310

MAT 320 R01 81315 MW 11:45am-12:40pm Physics P116

Note that all recitations meet at the same time.

1.1 Sets and functions (problems 6, 14, 18, 21)

1.2 Induction (problems 7, 11, 17)

1.3 Finite and infinite sets (problems 4, 12, 13)

2.1 Algebraic and order axioms (problems 4, 8, 17, 19)

2.2 Absolute value and the real line (problems 2, 17, 18)

2.3 The completeness property (problems 10, 12,13)

2.4 Applications of the Supremum property (problems 5, 7, 11, 19)

2.5 Intervals (problems 8, 12)

3.1 Sequences and their limits (problems 4, 5, 11, 17)

3.2 Limit theorems (problems 2, 7, 15, 20)

3.3 Monotone sequences (problems 2, 7, 9)

3.4 Bolzano-Weierstrass theorem (problems 6, 9, 18)

3.5 Monotone sequences (problems 4, 6, 11)

3.6 Properly divergence sequences (problems 2, 5, 10)

3.7 Introduction to infinite series (problems 5, 11, 15, 17)

Review of Chapters 1-3

Midterm 1

4.1 Limits of functions (problems 6, 13, 16)

4.2 Limit Theorems (problems 8, 12, 14)

4.3 Extensions of the limit concept (problems 7, 11)

5.1 Continuous functions (problems 3, 6, 12, 14, 15)

5.2 Combinations of continuous functions (problems 3, 8, 11, 14)

5.3 Continuous functions on intervals (problems 6, 13, 18)

5.4 Uniform continuity (problems 2, 6, 15, 16)

5.5 Continuity and gauges (no problems)

5.6 Monotone and inverse functions (problems 2, 9, 10, 12, 13)

6.1 The deriviative (problems 7, 9, 13, 17)

6.2 The mean value theorem (problems 8, 11, 12, 13, 15)

6.4 Taylor's theorem (problems 8, 12, 16)

7.1 The Riemann integral (problems 7, 8)

7.2 Riemann integrable functions (problems 6 (give an example), 8, 9, 15)

Appendix C, The Riemann and Lebesgue criteria

The fundamental theorem (problems 8, 14, 16, 21)

8.1 Pointwise and uniform convergence (problems 12, 19, 21,24)

8.2 Interchange of limits (problems 3, 14, 17, 18)

8.3 Exponential and logarithmic functions (problems 4, 9)

8.4 The trigonometric functions (no problems)

9.1 Absolute conevergence (problems 2, 7, 8, 15, 16)

9.2 Tests for absolute convergence (problems 15, 17, 19)

9.3 Tests for non-absolute convegence (problems 6, 9, 10, 12)

9.4 Series of functions (problems 2, 3, 11, 14, 15)

Review of Chapters 4-9

Midterm 2

Thanksgiving break, no class Thursday.

11.1 Open and closed sets (problems 10, 11, 16}

11.2 Compact sets (problems 4, 9, 11)

11.3 Continuous functions (problems 2, 7, 10)

11.4 Metric spaces (problems 8, 9, 10)

Wikipedia page on calculus.

Wikipedia page on Issac Newton.

Wikipedia page on Newton-Leibniz controversy.

Wikipedia page on the discovery of the planet Neptune (using only mathematics).

Wikipedia page on Gauss.

Wikipedia page on Pappus.

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