Math 3: Introduction to Calculus
Last updated February 9, 2007

### Syllabus

The following is a tentative syllabus for the course. Class may meet on regular class days or on x-hours; make sure to keep all these times open.
Each week's schedule will be set by the end of the preceding week.

For the first week, we will meet on Wednesday and Friday as indicated.
In weeks were class falls on a Dartmouth Holiday we will meet durring x-hour. For instance we will meet durring x-hour the first week of the course. (Instead of on Saturday)

1/5 2.1 Tangent and Velocity Problems
1/6 (Scheduled Saturday Class)   No Class Today
1/8 2.2 & 2.3 Limits
1/10 2.3 & 2.5 Limits and Continuity
1/11 (x-hour) 2.6 Rates of Change
1/12 3.1 & 3.2 & 3.8 The derivative and Higher Derivatives
1/15   Dr. Martin Luther King Jr. Day: No Class Today
1/17 3.3 Differentiation Formulas
1/18 (x-hour) 3.5 Derivatives of Trigonometric Functions
1/19 3.6 The Chain Rule
1/22 3.6 & 3.7 Chain Rule, Implicit Differentiation
1/24 3.9 Related Rates
1/25 (x-hour)
1/26 4.1 Maximum and Minimum Values
1/29 4.2 The Mean Value Theorem
1/30 EXAM First midterm exam. In Carpenter Room 013
1/31 4.3 How Derivatives Affect the Shape of Graph
2/1 (x-hour)
2/2 4.5 Summary of Curve Sketching
2/5 4.7 Optimization Problems
2/7 3.10 & 4.10 Linearization, Differentials and Antiderivatives
2/8 (x-hour) 5.1 Areas and Distances
2/9   Winter Carnival: No Class Today
2/12 5.2 Definite Integrals
2/14   Class Canceled due to snow
2/15 (x-hour)   Optional Optimization Problem Session
2/16 5.3 & 5.4 The Fundamental Theorem of Calculus and Indefinite Integrals
2/19 5.4 & 5.5 Indefinite Integrals and the Substitution Rule
2/20 EXAM Second midterm exam. In Carpenter Room 013
2/21 6.1 & 6.2 Areas Between Curves and Volumes
2/22 (x-hour)
2/23 6.2 & 6.3 Volumes
2/26 7.1 Inverse Functions
2/28 7.2* The Natural Logarithmic Function
3/1 (x-hour)
3/2 7.3* & 7.4* Exponential Function/ General Logarithmic & Exponential Functions
3/5 7.5 Inverse Trig Functions
3/7 7.7 Indeterminate Forms and L'Hospital's Rule
3/10 EXAM Final exam. 3pm-6pm in Kemeny 008

Jonathan Henry Brown
Last updated February 9, 2007