Instructor Info

Name: Nathan Broaddus
Email: broaddus.9@osu.edu
Office: Math Tower (MW) 650
Office Phone: 614-292-0605

Office Hours

Mondays and Wednesdays 12:30pm-2pm in Math Tower (MW) 650

Handouts

Syllabus
Calendar

Test Dates

Online Homework

Available on Carmen

Written Homework

Lecture Notes

(Not guaranteed to be comprehensive)
  • Lecture 2 — 8/24/2018 — Classes of functions, Limit laws, Applying limit laws, What to do when plugging in fails, The Squeeze Theorem
  • Lecture 3 — 8/27/2018 — What to do when plugging in fails, The Squeeze Theorem, Infinite limits, Vertical asymptotes
  • Lecture 4 — 8/29/2018 — Limits at infinity, Horizontal asymptotpes
  • Lecture 5 — 8/31/2018 — Continuity, Continuity Laws, Intermediate Value Theorem
  • Lecture 6 — 9/5/2018 — Definition of the Limit
  • Lecture 7 — 9/7/2018 — Definition of the derivative, Differentiability
  • Lecture 8 — 9/10/2018 — Derivative Rules, Atomic Derivatives, Higher Derivatives
  • Lecture 9 — 9/12/2018 — Product & Quotient Rules, Trig Limits, Trig Derivatives
  • Lecture 10 — 9/14/2018 — Chain Rule, Implicit differentiation
  • Lecture 11 — 9/17/2018 — Position, velocity and acceleration, Population growth, Marginal cost, Price elasticity
  • Lecture 13 — 9/24/2018 — Derivatives of inverse functions, Derivative of ln x, Derivatives of inverse trig functions, Logarithmic differentiation
  • Lecture 14 — 9/26/2018 — Derivatives summary, Related Rates
  • Lecture 15 — 9/28/2018 — Absolute Extrema, Extreme Value Theorem, Local Extrema, Critical Points, Intervals of Increase/Decrease
  • Lecture 16 — 10/1/2018 — First derivative test for increase/decrease, First derivative test for local extrema, Concavity and Inflection points, Second derivative test for concavity, Second derivative test for local extrema, Symmetry of functions (even, odd, periodic)
  • Lecture 17 — 10/3/2018 — Complete graphing
  • Lecture 18 — 10/5/2018 — Minimization/Maximization
  • Lecture 19 — 10/8/2018 — Linear Approximation, Mean Value Theorem
  • Lecture 20 — 10/10/2018 — L'Hôpital's Rule
  • Lecture 21 — 10/15/2018 — Antidifferentiation/Integration
  • Lecture 23 — 10/19/2018 — Estimating area under curves
  • Lecture 24 — 10/22/2018 — Definition of the definite integral, Integrals as limits of Riemann Sums, Properties of the definite integral, Definite integrals from area formulas or symmetry
  • Lecture 25 — 10/24/2018 — The area function, Fundamental Theorem of Calculus I and II
  • Lecture 26 — 10/26/2018 — Average value of a function, Mean Value Theorem for integrals, Substitution
  • Lecture 27 — 10/29/2018 — Integrals and motion, Area between curves
  • Lecture 28 — 10/31/2018 — Volumes by slicing
  • Lecture 29 — 11/2/2018 — Volumes by cylindrical shells
  • Lecture 30 — 11/5/2018 — Arc Length
  • Lecture 31 — 11/7/2018 — Surfaces of revolution
  • Lecture 32 — 11/9/2018 — Applications in physics, mass, work
  • Lecture 34 — 11/16/2018 — Definition of the natural logarithm and exponential function, Exponential growth
  • Lecture 35 — 11/19/2018 — Integration by parts
  • Lecture 36 — 11/26/2018 — Trigonometric integrals
  • Lecture 37 — 11/28/2018 — Trigonometric substitutions
  • Lecture 38 — 11/30/2018 — Partial fractions
  • Lecture 39 — 12/3/2018 — Improper integrals