Approved: June 2016 Effective: FALL 2016 SECTIONS TIME LINE MATERIAL TO BE COVERED FROM TEXT 1.5 & 1.6 Some algebra review; Limits; limits; continuity Optional: A1, A2, 6 hours 1.1 1.4 – Definition of derivative; Techniques of differentiation including product, quotient, and chain rules; Higher-order 2.1 2.4 & 2.6 – 7 hours derivatives; Implicit differentiation; Related rates. Optional: 2.5 (Optional: Marginal analysis) Increasing/decreasing functions; Relative extrema; Concavity and points of inflection; Curve sketching; 3.1 3.5 11.5 hours – Business and additional applied problems Exponential and logarithmic functions; Differentiation of 4.1 4.4 3.5 hours – exponential and logarithmic functions and their applications Indefinite integration; Differential equations; Integration by substitution; The definite integral and the Fundamental Theorem of Calculus; Applications of the definite integral 5.1 5.5 – including area between curves and average value of a 9.25 hours Optional: 5.6 function; Additional business applications (Optional: Additional applications of integration to the life and social sciences 6.1 6.3 – Integration by parts; Numerical integration; Improper Optional: 6.1 5 hours integration Integration tables Functions of several variables; Partial derivatives; Optimizing functions of two variables; The method of 7.1 7.6 – 8 hours Lagrange multipliers; Double integrals (Optional: Optional: 7.4 regression 4-unit class: hours total 57.5 (15 x 3 hours 50 minutes) hours for exams + 2.5 hour final – This outline allows for 6 hours of exams. Professors are to emphasize that students use correct units when stating answers. Submitted by: Beydler, Parra (chair), Takashima, Tatoian, Young Math Department Policy can be found at: https://mtsac.instructure.com/courses/33990/files?preview=1988385
Approved: June 2016 Effective: FALL 2016 MATERIAL TO BE COVERED SECTIONS FROM TEXT TIME LINE Some algebra review; Limits; limits; continuity 1.5 & 1.6 Optional: A1, A2, 1.1 – 1.4 6 hours Definition of derivative; Techniques of differentiation including product, quotient, and chain rules; Higher-order derivatives; Implicit differentiation; Related rates. (Optional: Marginal analysis) 2.1 – 2.4 & 2.6 Optional: 2.5 7 hours Increasing/decreasing functions; Relative extrema; Concavity and points of inflection; Curve sketching; Business and additional applied problems 3.1 – 3.5 11.5 hours Exponential and logarithmic functions; Differentiation of exponential and logarithmic functions and their applications 4.1 – 4.4 3.5 hours Indefinite integration; Differential equations; Integration by substitution; The definite integral and the Fundamental Theorem of Calculus; Applications of the definite integral including area between curves and average value of a function; Additional business applications (Optional: Additional applications of integration to the life and social sciences 5.1 – 5.5 Optional: 5.6 9.25 hours Integration by parts; Numerical integration; Improper integration 6.1 – 6.3 Optional: 6.1 Integration tables 5 hours Functions of several variables; Partial derivatives; Optimizing functions of two variables; The method of Lagrange multipliers; Double integrals (Optional: regression 7.1 – 7.6 Optional: 7.4 8 hours 4-unit class: hours total 57.5 (15 x 3 hours 50 minutes) – hours for exams + 2.5 hour final This outline allows for 6 hours of exams. Professors are to emphasize that students use correct units when stating answers. Submitted by: Beydler, Parra (chair), Takashima, Tatoian, Young Math Department Policy can be found at: https://mtsac.instructure.com/courses/33990/files?preview=1988385