Math 1151: Calculus 1. (Instructor: Sergei Chmutov)

Spring 2016. Tentative Daily Schedule

1/11 (Mon)
Introduction. Inverse, Exponential, and Logarithmic Functions. (Sec. 1.3)
1/13 (Wed)
Trigonometric Functions and Their Inverses. (Sec. 1.4)
1/15 (Fri)
Trigonometric Functions and Their Inverses. (Sec. 1.4)
1/18 (Mon)
NO CLASSES
1/20 (Wed)
The Idea of Limits. (Sec. 2.1)
1/22 (Fri)
Definitions of Limits.
(Sec. 2.2).
1/25 (Mon)
Techniques for Computing Limits. (Sec. 2.3).
1/27 (Wed)
Infinite Limits. (Sec. 2.4).
Limits at Infinity. (Sec. 2.5).
1/29 (Fri)
Continuity. (Sec. 2.6).
2/01 (Mon)
Introducing the Derivative. (Sec. 3.1, 3.2)
2/03 (Wed)
Review for midterm 1.
2/05 (Fri)
Midterm #1.
2/08 (Mon)
Rules of Differentiation.
(Sec. 3.3)
2/10 (Wed)
The Product and Quotient Rules. (Sec. 3.4)
2/12 (Fri)
Derivatives of Trigonometric Functions. (Sec. 3.5)
2/15 (Mon)
Derivative as Rates of Change. (Sec. 3.6)
2/17 (Wed)
The chain rule. (Sec. 3.7)
2/19 (Fri)
Implicit differentiation.
(Sec. 3.8)
2/22 (Mon)
Implicit differentiation.
(Sec. 3.8)
2/24 (Wed)
Derivatives of Log and Exp Functions. (Sec. 3.9)
2/26 (Fri)
Derivatives of Inverse Trig Functions. (Sec. 3.10).
2/29 (Mom)
Related rates. (Sec. 3.11)
3/02 (Wed)
Related rates. (Sec. 3.11)
3/04 (Fri)
Maxima and Minima.
(Sec. 4.1)
3/07 (Mon)
What Derivatives Tell Us. (Sec. 4.2)
3/09 (Wed)
Review for midterm 2.
3/11 (Fri)
Midterm #2.
3/21 (Mon)
Graphing Functions.
(Sec. 4.3)
3/23 (Wed)
Optimization Problems.
(Sec. 4.4)
3/25 (Fri)
Linear Approximations and Differentials. (Sec. 4.5)
3/28 (Mon)
Mean Value Theorem.
(Sec. 4.6)
3/30 (Wed)
L'Hopital's rule. (Sec. 4.7)
4/01 (Fri)
Antiderivatives. (Sec. 4.9)
4/04 (Mon)
Approximating Areas under Curves. (Sec. 5.1)
4/06 (Wed)
Definite Integrals. (Sec. 5.2)
4/08 (Fri)
Fundamental Theorem of Calculus. (Sec. 5.3)
4/11 (Mon)
Working with Integrals.
(Sec. 5.4)
4/13 (Wed)
Review for midterm 3.
4/15 (Fri)
Midterm #3.
4/18 (Mon)
Substitution Rule.
(Sec. 5.5)
4/20 (Wed)
Substitution Rule.
(Sec. 5.5)
4/22 (Fri)
Velocity and Net Change.
(Sec. 6.1)
4/25 (Mon)
Review for the final.
4/27 (Wed)
FINAL, 1:00-2:45 PM