Calculus with Analytic Geometry

This course introduces and develops the mathematical skills required for analyzing change and creating mathematical models that replicate real-life phenomena. The goals of our calculus courses include developing students' knowledge of calculus techniques and using the calculus environment to develop critical thinking and problem-solving skills.

Week 1 (1/12 - 1/16)

Monday Tuesday Wednesday Friday
  • Polynomial and Rational Functions
  • Notes
  • Inverse Functions
  • Notes
  • Exponential and Log Functions
  • Notes

Week 2 (1/19 - 1/23)

Monday Tuesday Wednesday Friday
  • MLK Day
  • Finding Limits Graphically
  • Notes
  • Finding limits algebraically
  • Notes
  • Limits of Transcendental Functions
  • Notes

Week 3 (1/26 - 1/30)

Monday Tuesday Wednesday Friday
  • Intermediate Value Theorem
  • Notes
  • Review
  • Exam 1

Week 4 (2/2 - 2/6)

Monday Tuesday Wednesday Friday
  • Tangent and Secant Lines
  • Notes
  • Limit Definition of the Derivative
  • Notes
  • Basic Derivative Rules
  • Notes
  • Product and Quotient Rule
  • Notes

Week 5 (2/9 - 2/13)

Monday Tuesday Wednesday Friday
  • Derivative Rules for Trig Functions
  • Notes
  • Higher-Order Derivatives
  • Notes
  • Implicit Differentiation
  • Notes

Week 6 (2/16 - 2/20)

Monday Tuesday Wednesday Friday
  • Derivative of Exponential and Logarithmic Functions
  • Notes
  • Derivative of Inverse Trig Functions
  • Notes

Week 7 (2/23 - 2/27)

Monday Tuesday Wednesday Friday
  • Linear Approximations and Differentials
  • Notes
  • L'Hospital's Rule
  • Notes

Week 8 (3/2 - 3/6)

Monday Tuesday Wednesday Friday
  • Rolle's and Mean Value Theorem
  • Notes
  • 1st Derivative Test
  • Notes
  • Classifying Extrema
  • Notes
  • 2nd Derivative Test
  • Notes

Week 9 (3/9 - 3/13)

Monday Tuesday Wednesday Friday
  • Spring Break
  • Spring Break
  • Spring Break
  • Spring Break

Week 10 (3/16 - 3/20)

Monday Tuesday Wednesday Friday
  • Limits at Infinity
  • Notes

Week 11 (3/23 - 3/27)

Monday Tuesday Wednesday Friday
  • Review

Week 12 (3/30 - 4/3)

Monday Tuesday Wednesday Friday
  • Antiderivatives and Indefinite Integrals
  • Notes
  • Basic Integration Rules
  • Notes
  • Area and Definite Integrals
  • Notes
  • Approximating Area
  • Notes

Week 13 (4/6 - 4/10)

Monday Tuesday Wednesday Friday
  • Limits of Riemann Sums
  • Notes
  • Fundamental Theorem of Calculus, Part I
  • Notes
  • Fundamental Theorem of Calculus, Part II
  • Notes

Week 14 (4/13 - 4/17)

Monday Tuesday Wednesday Friday
  • Applications of FTC
  • Notes
  • Integration by Substitution
  • Notes
  • Integration of Log Functions
  • Notes
  • Integration of Trig Functions
  • Notes

Week 15 (4/20 - 4/24)

Monday Tuesday Wednesday Friday
  • Integration of Inverse Trig Functions
  • Notes
  • Hyperbolic Trig Functions
  • Notes

Week 16 (4/27 - 5/1)

Monday Tuesday Wednesday Friday
  • Differential Equations
  • Notes
  • Separation of Variables
  • Notes
  • First Order Differential Equations
  • Notes