Syllabus

Week 1. January 16 - 20

1.2: R and Rⁿ

1.3: Distance

1.4: Functions

Drop/Add Deadline: January 20

Week 2. January 23 - 27

1.5: Topology

1.6: Sequences

1.7: Monotone Sequences

Week 3. January 30 - February 3

1.8: Compact Sets

2.2: Continuity

2.3: Uniform Continuity

Week 4. February 6 - 10

2.4: Implications of Continuity

2.5: Limits of Functions

2.6: Discontinuities

Week 5. February 13 - 17

2.7: Inverses for Functions of One Variable

Week 6. February 20 - 24

Exam 1: Thursday, February 23

3.1: Differentiation

Week 7. February 27 - March 3

3.3: Partial and Total Derivatives

Week 8. March 6 - 10

3.4: Chain Rule

3.5: Taylor's Theorem

Spring Break: March 13 - 17

Week 9. March 20 - 24

3.5: Taylor's Theorem, continued

3.6: Critical Points and Extreme Values

Week 10. March 27 - 31

4.1: Integration

4.2: Double Integral

Withdrawal Deadline: March 31

Week 11. April 3 - 7

4.2: Double Integral, continued

4.3: Iterated Integrals

Week 12. April 10 - 14

Exam 2: Thursday, April 13

7.1: Derivatives of Transformations

Week 13. April 17 - 21

7.2: Transformations Rⁿ to R^m

7.4: Differentials

Week 14. April 24 - 28

7.5: Inverse Function Theorem

7.6: Implicit Function Theorem

Week 15. May 1 - 2

Final Review

Final Exam: Thursday, May 4, 7:40-9:30am