Math 113 Calculus I

Fall 2019
MWF 12:00-12:50 pm
Funkhouser Bldg Rm.200
Instructor: Mihai Tohaneanu
Office: POT 749
Office hours: Monday 3:00 pm -4:30 pm and Friday 9:00 am - 10:30 am or by appointment
Email: mihai.tohaneanu@uky.edu

Textbook


Syllabus

The main page of the course can be found here. Make sure to read the main webpage, as it contains all the pertinent information, including the course calendar, grading policy, homework, exam dates and places etc. Make sure to monitor both this page and the main page for future announcements.

Midterm dates

Sep. 17, Oct. 15, Nov. 12 5:00-7:00 PM. See main page for more details.

Final

Dec. 18 6:00-8:00 PM

Lecture notes


08/26 Functions, inverses, composition
08/28 Exponentials and Logarithms
08/30 Trigonometry
09/04 Inverse trigonometric functions
09/06 The tangent and velocity problem, limits
09/09 One sided and infinite limits
09/11 Limit laws
09/13 Review 1
09/16 Review 2
09/18 Continuity
09/20 Limits at infinity
09/23 Derivatives
09/25 Derivative as a function
09/27 Derivatives of powers and exponentials
09/30 Product and Quotient Rule
10/02 Derivatives of trigonometric functions
10/04 Chain rule
10/07 Implicit differentiation
10/09 Derivative of logarithm
10/11 Review 1
10/14 Review 2
10/16 Rates of change
10/18 Exponential growth and decay
10/23 Related Rates
10/25 Extrema of functions
10/28 Mean value theorem
10/30 How derivatives affect the shape of the graph
11/01 L'Hopital's rule
11/04 Optimization problems
11/06 Optimization problems 2
11/08 Review 1
11/11 Review 2
11/13 Antiderivatives
11/15 Areas and Distances
11/18 The definite integral
11/20 Fundamental Theorem of Calculus I
11/22 Fundamental Theorem of Calculus II
11/25 Indefinite integrals and the net change theorem
12/02 Method of substitution
12/04 Linear approximation
12/06 Higher order approximation
12/06 Handout for higher order approximation
12/09 Review 1
12/11 Review 2
12/13 Review 3