MA 16010: Applied Calculus 1

Instructor: Katy Yochman
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MA 16010 course website for the current semester

Introduction to Using LON-CAPA

Notes (from Fall 2018)

Exam 1 Material

Lesson 2: Finding Limits Numerically; One-Sided Limits
Lesson 3: Finding Limits Graphically
Lesson 4: Finding Limits Analytically
Additional Explanation for Lesson 4

Lesson 5: Continuity
Lesson 6: The Derivative
Lesson 7: Basic Rules of Differentiation; Derivatives of the Sine and Cosine Functions; Derivative of Natural Exponential Function
Lesson 8: Instantaneous Rates of Change
Lesson 9: The Product Rule
Lesson 10: The Quotient Rule; Derivatives of the Other Trigonometric Functions

Exam 2 Material

Lesson 11: The Chain Rule
Graphs of Different Function Compositions
Lesson 12: The Chain Rule; Derivative of the Natural Logarithmic Function
Lesson 13: Higher Order Derivatives
Lesson 14: Implicit Differentiation
Lesson 15: Related Rates
Lesson 16: Related Rates
Lesson 17: Relative Extrema and Critical Numbers
HW 17 Trig Problem Explanation
Lesson 18: Increasing and Decreasing Functions and the First Derivative Test

Exam 3 Material

Lesson 19: Concavity, Inflection Points and the Second Derivative Test
Lesson 20: Absolute Extrema on an Interval
Lesson 21: Graphical Interpretation of Derivatives
Lesson 22: Limits at Infinity
Lesson 23: A Summary of Curve Sketching
Lesson 24 Blank Handout
Lesson 24: Optimization
Lesson 25 Blank Handout
Lesson 25: Optimization (Problem numbers differ from the handout.)
HW 25 Norman Window Problem
Lesson 26 Blank Handout
Lesson 26: Optimization
Lesson 27: Antiderivatives and Indefinite Integration
Lesson 28: Antiderivatives and Indefinite Integration

Afer Exam 3 Material

Lesson 29: Area and Riemann Sums
Lesson 30: Definite Integrals
Lesson 31: The Fundamental Theorem of Calculus
Lesson 32: The Fundamental Theorem of Calculus
Lesson 33: Numerical Integration
Lesson 34: Exponential Growth
Lesson 36: Exponential Decay

Review