# MATH 151 - Suggested Weekly Schedule

**Note:** This is a Fall (or Spring) schedule. In summer, the schedule is accelerated by 50% in order to accommodate a 10-week session.

The sections listed below correspond to *Calculus: Early Transcendentals*, 8th edition, by James Stewart

- Week 1
- Vectors (Supplement I)
- The Dot Product (Supplement I)
- Vector Functions and Parametric Curves (Supplement I)

- Week 2
- Sec 1.5: Inverse Trigonometric Functions
- Sec 2.2: The Limit of a Function
- Sec 2.3: Calculating Limits Using the Limit Laws

- Week 3
- Sec 2.5: Continuity
- Sec 2.6: Limits at Infinity, Horizontal Asymptotes
- Sec 2.7: Derivatives and Rates of Change

- Week 4
- Sec 2.8: The Derivative as a Function
- Sec 3.1: Derivatives of Polynomial and Exponential Functions
- Sec 3.2: The Product and Quotient Rules

- Week 5
- Sec 3.3: Derivatives of Trigonometric Functions
- Sec 3.4: Chain Rule
**Exam I (Covering through Sec 2.8)**

- Week 6
- Sec 3.5: Implicit Differentiation (includes derivatives of inverse trig functions)
- Sec 3.6: Derivatives of Logarithmic Functions
- Derivatives of Vector Functions (Supplement II)

- Week 7
- Slopes and Tangents to Parametric Curves (Supplement II)
- Sec 3.7: Rates of Change in the Natural and Social Sciences
- Sec 3.8: Exponential Growth and Decay

- Week 8
- Sec 3.9: Related Rates
- Sec 3.10: Linear Approximations and Differentials

- Week 9
- Sec 4.1: Maximum and Minimum Values
- Sec 4.2: Mean Value Theorem
**Exam II (Covering through Sec 3.10)**

- Week 10
- Sec 4.3: How Derivatives Affect the Shape of a Graph
- Sec 4.4: Indeterminate Forms and Lâ€™Hospitalâ€™s Rule

- Week 11
- Sec 4.5: Summary of Curve Sketching
- Sec 4.7: Optimization Problems
- Sec 4.9: Antiderivatives

- Week 12
- Sec 5.1: Areas and Distances
- Sec 5.2: The Definite Integral (includes Sigma notation and Riemann sums)
- Sec 5.3: The Fundamental Theorem of Calculus

- Week 13
**Exam III (Covering through Sec 5.2)**- Thanksgiving break (in Fall semester)

- Week 14
- Sec 5.4: Indefinite Integrals and the Net Change Theorem
- Sec 5.5: The Substitution Rule
- Sec 6.1: Areas Between Curves

- Week 15
- Review
**Final Exams**

Last modified: 2017-08-14