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Calc 1 Test 3 - Integration, FTC I-II, Optimization, U-Subs, Graphing

Dr Trefor Bazett via YouTube

Overview

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Walk through a comprehensive Calculus I Test 3 covering integration, Fundamental Theorem of Calculus, optimization, u-substitutions, and graphing. Explore 12 questions, including initial value problems, net change word problems, Riemann integration, integration rules, accumulation functions, and graph sketching. After the walkthrough, engage in active learning by summarizing key concepts, noting uncertainties, formulating future questions, and creating your own sample problem. Remember, effective mathematics learning requires hands-on practice beyond video instruction.

Syllabus

Q1: Initial Value Problem .
Q2: Net Change Word Problem .
Q3: Definition of Reimann Integration.
Q4: Integration Rules .
Q5: Approximating with Reimann Sums.
Q6: Fundamental Theorem of Calculus I.
Q7: Fundamental Theorem of Calculus II .
Q8: u-Substitution .
Q9: Accumulation Functions & FTCI.
Q10: u-Substitution .
Q11: Optimization Problem (Cost of a Box) .
Q12: Sketch a Graph (increasing/decreasing/concave up/down, etc) .

Taught by

Dr. Trefor Bazett

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