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/ MAT 265: Calculus for Engineers I

# MAT 265: Calculus for Engineers I

Limits and continuity, differential calculus of functions of one variable, introduction to integration. Not open to students with credit in MAT 270.

Enroll requirements: Prerequisite(s): MAT 170 or 171 with C or better, OR Mathematics Placement Test with a score of 60% or higher; the Advanced Math Placement Test with a score of 38 or higher, OR ALEKS score of 76 or higher; Credit is allowed for only MAT 265 or MAT 270

ASU Catalog - MAT 265

The MAT 265 Week in Reviews run weekly. Instructors will provide you the days, times and locations of the reviews.

 Spring 2019 syllabus pdf

(this may not be the syllabus used by your instructor, but gives students an idea of the course content and expectations).

Course Objectives

Course coordinators: Richard Ruedemann, Hassan Lhou
Online: Jay Abramson and Carla van de Sande

#### Exam Reviews

 Exam 1 Review pdf Exam 2 Review pdf Exam 3 Review pdf Final Exam Review pdf Mastery Exam Review pdf

#### Short Videos (targeting specific problems)

 (1.2) Essential Functions 1 - Composition Graph 2 - Composition Domain (1.3) Limits 1 - Graph 2 - Numerical (1.4) Calculating Limits 1 - Rational Expression 2 - Conjugate (1.5) Continuity 1 - Graph 2 - Piecewise 3 - Continuity Over Domain (1.6) Limits Involving Infinity 1 - Rational Exp 1 2 - Rational Exp 2 3 - Trig 4 - Conjugate (2.1) Derivatives and Rates of Change 1 - Polynomial 2 - Rational 3 - Alternative Definition (2.2) Derivatives as Functions (Definition of a Derivative) 1 - Quadratic 2 - Rational 3 - Square Root (2.3) Basic Differentiation Formulas 1 - With Trig 2 - Product 3 - Tangent Line (2.4) Product and Quotient Rules 1 - Product 2 - Quotient 3 - Quotient with Trig Identities (2.5) Chain Rule 1 - Power Rule 2 - Product Rule 3 - Sine 4 - Multi (2.6) Implicit Differentiation 1 - Basic 2 - Tangent Line 3 - Horiz and Vert Tangents (2.7) Related Rates 1 - Balloon 2 - Walking 3 - Ladder (2.8) Linear Approximation and Differentials 1 - Fourth Root of 15.7 (3.1) Exponential Functions 1 - Find Function 2 - Limits (3.2) Inverse Functions and Logarithms 1 - Domain & Range 2 - Parabola 3 - Deriv of Inverse 4 - Quadratic 5 - Expand Log (3.3) Derivatives of Log and Exp Functions 1 - Basic Rules 2 - Tangent Line 3 - Logarithmic Diff (3.4) Exponential Growth and Decay 1 - Growth 2 - Decay 3 - Law of Cooling (3.5) Inverse Trig Functions 1 - Derivatives 2 - Simplify 3 - Simplify (3.7) L'Hospital's Rule 1 - Inf Over Inf 2 - Zero Over Zero 3 - Zero Times Infinity (4.1) Maximum and Minimum Values 1 - Radical 2 - Trigonometric (4.2) Mean Value Theorem 1 - Rolle's 2 - MVT Logarithm (4.3) Derivatives and Shapes of Graphs 1 - Radical 2 - Polynomial 3 - Concavity (4.4) Curve Sketching 1 - Polynomial 2 - Trigonometric (4.5) Optimization Problems 1 - Square Based Box 2 - Garden Fence 3 - Open Top Box (4.6) Newton's Method 1 - Cube Root of 5 (4.7) Antiderivatives 1 - Power Rule 2 - Basic Rules (5.1) Areas and Distances 1 - Midpoint 2 - Walking Distance (5.2) Definite Integrals 1 - Graph 2 - Linear 3 - Circular (5.3) Evaluating Definite Integrals 1 - Break Fraction 2 - Trigonometric 3 - Inverse Trig (5.4) Fundamental Theorem of Calculus 1 - Derivative of Integral 2 - Average Value