Carlos Vega research teaching |
Summer 2013 : MAC 2233 Business Calculus : Syllabus Final Exam: Thursday, June 20 5.3 Riemann Sums: 3, 5, 7, 8; find both LHS and RHS, first with n = 4, then n = 8. Also, include sketches! 5.1 Antiderivatives: 1-13 odd 5.3 The Fundamental Theorem of Calculus: 9, 11, 15-19 odd, 25, 27 Antiderivative Rules and the Fundamenal Theorem of Calculus Supplemental Examples and Exercises: Antiderivatives and Definite Integrals Supplemental Example: Left and Right (Riemann) Sums ............................................................... Exam 2: Thursday, June 6 : Supplemental Assignment 2.1 (continued) Derivatives: 1-6 all, 13-18 all; Must use limit definition of f'(x)! 2.2 Basic Derivative Rules: 1-40 all 2.3 Product and Quotient Rules: 1-27 all 3.1 Increasing/Decreasing and Relative Max/Mins: 1-15 all, 19-26 all, 29, 31, 32, 34 3.2 Concavity and Inflection Points:1-9, 11-18, 24-26 all answers/solutions to: even problems Derivative Rules and Tangent Lines Supplemental Example: Increasing/Decreasing, Concavity, etc. ............................................................... Exam 1: Thursday, May 23 1.1 Functions: 33-36 all 1.2 Graphs: 13-23 odd 1.3 Lines: 1-7 odd, 9-12 all, 21-32 all 1.5 Limits: 17, 19, 25, 39, 42; do all with tables! 2.1 Tangent Lines: 1-6 all; find slopes only! (ignore derivative), 33-35 all answers to: even problems Supplemental Examples: Limits and Tangents Supplemental Exercises: Difference Quotients, Secants, and Tangents |