﻿ Mathematics::
 Lec Day Sec Topic #1 Wed 1/5 Introduction and lines in the plane. #2 Fri 1/7 Functions and their graphs. New functions from old. #3 Mon 1/10 1.5 Trigonometric functions. #4 Wed 1/12 1.6 Exponential and logarithmic functions. #5 Fri 1/14 2.1 Modeling rates of change: introduction. #6 Wed 1/19 The legacy of Galileo, Newton, and Leibniz. Limits of functions. Limits at infinity. #7 Thu 1/20 (x-hr) Continuity. Tangent lines and their slopes. #8 Fri 1/21 Tangent lines and their slopes. (contd.) The derivative. #9 Mon 1/24 2.8 Differentiation rules. #10 Wed 1/26 2.9 Derivatives of trigonometric functions. #11 Fri 1/28 The mean value theorem, Intervals of Increase/Decrease Implicit differentiation. #12 Mon 1/31 2.12 Derivatives of exponentials and logs. Exam 1:  5 pm – 7 pm. Location TBA #13 Wed 2/2 Newton's method. Linear approximations. #14 Fri  2/4 Antiderivatives and initial value problems. Velocity and acceleration. #15 Mon 2/7 2.17 Related rates. #16 Wed 2/9 3.1 Modeling with differential equations: introduction. Separable differential equations: first look. #17 Thu 2/10 (x-hr) Exponential growth and decay. Separable differential equations. #18 Mon 2/14 3.4 Slope fields and Euler's method. #19 Wed 2/16 3.5 Issues in curve sketching. #20 Fri 2/18 3.6 Optimization. Exam 2: 5 pm – 7 pm. Location TBA #21 Mon 2/21 4.1 Modeling accumulations: introduction. #22 Wed 2/23 The definite integral. Properties of the definite integral. #23 Fri 2/25 The fundamental theorem of calculus. Techniques of integration (omit integration by parts). #24 Mon  2/28 Trapezoid rule. Areas between curves. #25 Wed  3/2 4.9 Arc length. #26 Fri  3/4 4.10 Inverse trigonometric functions. #27 Mon  3/7 - Review #28 Wed 3/9 - Review Final Exam Sat March 12, 8am-11am, Location TBA