Textbook:  Mathematics 1000, 1001 Course Notes by Bruce Watson.

Method of Evaluation:

• Assignments: 10%
• Term Tests: 30%
• Final Exam: 60%

Course Outline:

UNIT 1:   LIMITS AND CONTINUITY
1.1    Introduction to Limits (Section 2.1)
1.2    What can go wrong with limits? (Section 2.4)
1.3    Rules for limits (Section 2.5)
1.4    Infinite limits, limits at infinity, Asymptotes (Sections 2.7, 2.8)
1.5    Continuity (Sections 2.9, 2.11)

UNIT 2:   DERIVATIVES
2.1    Introduction to the derivative (Sections 3.1, 3.2, 3.4)
2.2    Rules for calculating derivatives (Section 3.5)
2.3    Higher Order Derivatives (Section 3.7)
2.4    Implicit Differentiation (Section 3.8)
2.5    Justification of some derivative rules (Section 10)
2.6    Related Rates (Section 3.12)
2.7    Logarithmic Differentiation (Section 3.14)

UNIT 3:   APPLICATIONS OF DIFFERENTIATION
3.1    Rectilinear Motion (Section 4.1, Exercises 1-68)
3.2    Introduction to Curve Sketching (Sections 4.3 4.74.8)
3.3    Monotonicity and Extrema (Sections 4.4, 4.6)
3.4    Concavity and Points of Inflection (Sections 4.7)
3.5    Curve Sketching (Section 4.8)
3.6    Mean-Value Theorem (Section 4.10)
3.7    Absolute Extrema and Optimization Problems (Sections 4.11, 4.12)

UNIT 4:   INTEGRATION
4.1    Antidervatives and the Indefinite Integral (Sections 5.1, 5.2)
4.2    The Definite Integral and The Fundamental Theorem (Sections 5.4, 5.5)
4.3    Area of a Region Between Two Curves (Section 5.6)

Assignments and Term Tests:

Important Dates: