Lecture Notes
- Lecture 1: Review of Precalculus
- Lecture 2: Finding Limits Numerically and Graphically
- Lecture 3: Finding Limits Analytically
- Lecture 4: Continuity
- NON-EXAMINABLE MATERIAL: Approximating Roots of Continuous Functions
- Lecture 5: The Derivative
- Lecture 6: Basic Rules of Differentiation; Derivatives of sine, cosine, and e^x
- Lecture 7: Instantaneous Rates of Change
- Lecture 8: The Product Rule
- Lecture 9: The Quotient Rule; Derivatives of the Other Trigonometric Functions
- Lecture 10: The Chain Rule (Part I)
- Lecture 11: Derivative of ln(x); Logarithmic Differentiation
- Lecture 12: Higher Order Derivatives
- Lecture 13: Implicit Differentiation
- Lecture 14: Related Rates (Part I)
- Lecture 15: Related Rates (Part II)
- Lecture 16: Relative Extrema and Critical Numbers
- Lecture 17: Increasing and Decreasing Functions and the First Derivative Test
- Lecture 18: Concavity; Inflection Points and the Second Derivative Test
- Lecture 19: Absolute Extrema on an Interval
- Lecture 20: Graphical Interpretation of Derivatives
- Lecture 21: Limits at Infinity
- Lecture 22: A Summary of Curve Sketching
- Lecture 23: Optimization (Part I)
- Lecture 24: Optimization (Part II)
- Lecture 25: Optimization (Part III)
- Lecture 26: Antiderivatives and Indefinite Integration (Part I)
- Lecture 27: Antiderivatives and Indefinite Integration (Part II)
- Lecture 28: Area and Riemann Sums
- Lecture 29: Definite Integrals (Part I)
- Lecture 30: Definite Integrals (Part II)
- Lecture 31: The Fundamental Theorem of Calculus (Part I)
- Lecture 32: The Fundamental Theorem of Calculus (Part II)
- Lecture 33: Numerical Integration
- Lecture 34: Exponential Growth
- Lecture 35: Exponential Decay
Exam Reviews
- Midterm 1 (Lectures 2-10) Review
- Midterm 2 (Lectures 11-19) Review
- Midterm 3 (Lectures 20-28) Review
- Final Exam (All Lectures) Review
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