MAT1223

From Department of Mathematics at UTSA
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The textbook for this course is Calculus (Volume 2) by Gilbert Strang, Edwin Herman, et al.


Date Sections Topics Prerequisite Skills Student Learning Outcomes
Week 1 1.5 Integration by Substitution * Differentiation Rules
Week 1 & 2 2.1 Area between Curves * Toolkit Functions Graphing Elementary Functions
Week 2 2.2 Determining Volumes by Slicing * Areas of basic shapes
Week 3 2.3 Volumes of Revolution, Cylindrical Shells * Toolkit Functions Graphing elementary functions
Week 3 2.4 Arc Length and Surface Area * Differentiation Rules
Week 4 2.5 Physical Applications * Areas of basic shapes
Week 4 & 5 2.6 Moments and Center of Mass * Toolkit Functions Graphing elementary functions
Week 5 3.1 Integration by Parts * Differentiation Rules
Week 6 3.2 Trigonometric Integrals * Trigonometric Functions
Week 6 & 7 3.3 Trigonometric Substitution * Completing the Square
Week 7 3.4 Partial Fractions * Factoring Polynomials
Week 8 3.7 Improper Integrals * The Fundamental Theorem of Calculus
Week 9 5.1 Sequences * The Limit Laws The Limit Laws and Squeeze Theorem
Week 10 5.2 Infinite Series * Sigma notation
Week 11 5.3 The Divergence and Integral Tests * The Limit Laws
Week 11 5.4 Comparison Tests * Limits at Infinity and Asymptotes Limits at Infinity
Week 12 5.5 Alternating Series * Limits at Infinity and Asymptotes Limits at Infinity
Week 12 5.6 Ratio and Root Tests * Factorials
Week 13 6.1 Power Series and Functions * Infinite Series The Geometric Series Test
Week 14 6.2 Properties of Power Series * Differentiation Rules
Week 15 6.3 Taylor and Maclaurin Series * The Derivative as a Function Higher-Order Derivatives