# 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