UIUC MATH 241 - Lecture12214 (31 pages)

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Lecture12214



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Lecture12214

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Pages:
31
School:
University of Illinois at Urbana, Champaign
Course:
Math 241 - Calculus III
Calculus III Documents

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Basic Information Course Outline Syllabus Review Vectors and Arithmetic 12 2 Multiplying Vectors Dot product 12 3 Math 241 Spring 2014 Jayadev S Athreya Spring 2014 Jayadev S Athreya Math 241 Spring 2014 Basic Information Course Outline Syllabus Review Vectors and Arithmetic 12 2 Multiplying Vectors Dot product 12 3 Welcome Welcome to Math 241 Multivariable Calculus Jayadev S Athreya Math 241 Spring 2014 Basic Information Course Outline Syllabus Review Vectors and Arithmetic 12 2 Multiplying Vectors Dot product 12 3 Instructor Information Office 371 Altgeld Hall Office phone 244 0225 Email jathreya illinois edu Website http math illinois edu jathreya 241 Office Hours Monday 2 00 3 00 Wednesday 11 00 12 00 Friday 1 00 2 00 and by appointment subject to change in the first few weeks TA Room M T 4 9pm W Thu 4 8pm Jayadev S Athreya Math 241 Spring 2014 Basic Information Course Outline Syllabus Review Vectors and Arithmetic 12 2 Multiplying Vectors Dot product 12 3 Calculus from single to multiple variables Multiple Variables One variable calculus In one variable calculus we study functions of a single real variable y f x We take limits derivatives and integrals Jayadev S Athreya Math 241 Spring 2014 Basic Information Course Outline Syllabus Review Vectors and Arithmetic 12 2 Multiplying Vectors Dot product 12 3 Calculus from single to multiple variables Multiple Variables Derivatives f 0 x Slope of a tangent line instantaneous velocity rate of change Jayadev S Athreya Math 241 Spring 2014 Basic Information Course Outline Syllabus Review Vectors and Arithmetic 12 2 Multiplying Vectors Dot product 12 3 Calculus from single to multiple variables Multiple Variables Integrals Signed area under a curve f x Rb a f x dx x2 3 9 4 1 Z 3 2 2 x dx 0 1 3 2 2 Can be used to take averages 1 Jayadev S Athreya 3 b a Rb a x f x dx Math 241 Spring 2014 Basic Information Course Outline Syllabus Review Vectors and Arithmetic 12 2 Multiplying Vectors Dot product 12 3 Calculus from single to



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