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YouTube

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

Dr Trefor Bazett via YouTube

Overview

This course provides a walkthrough of a full Calculus I Test 3, covering topics such as Initial Value Problems, Net Change Word Problems, Integration Rules, u-Substitution, Optimization Problems, and Graph Sketching. The learning outcomes include understanding and applying concepts related to integration, the Fundamental Theorem of Calculus, u-Substitution, and optimization. The course aims to enhance skills in problem-solving, critical thinking, and mathematical reasoning. The teaching method involves a detailed explanation and demonstration of solving test problems. The intended audience for this course is students studying Calculus I or anyone interested in practicing and improving their calculus skills.

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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