Engineering Mathematics Online Course, The University of New South Wales http://freevideolectures.com Lecture 1: Vector Revision: Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/1 Wed, 05 May 2010 00:00:00 -0600 Lecture 2: Intro to curves and vector functions: Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/2 Wed, 05 May 2010 00:00:00 -0600 Lecture 3: Limits of vector functions: Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/3 Wed, 05 May 2010 00:00:00 -0600 Lecture 4: Calculus of vector functions - 1 variable. Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/4 Wed, 05 May 2010 00:00:00 -0600 Lecture 5: Calculus of vector functions tutorial: Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/5 Wed, 05 May 2010 00:00:00 -0600 Lecture 6: Vector functions of one variable tutorial. Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/6 Wed, 05 May 2010 00:00:00 -0600 Lecture 7: Vector functions tutorial. Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/7 Wed, 05 May 2010 00:00:00 -0600 Lecture 8: Intro to functions of two variables: Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/8 Wed, 05 May 2010 00:00:00 -0600 Lecture 9: Partial derivatives. Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/9 Wed, 05 May 2010 00:00:00 -0600 Lecture 10: 2 variable functions: graphs + limits tutorial. Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/10 Wed, 05 May 2010 00:00:00 -0600 Lecture 11: Multivariable chain rule and differentiability: Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/11 Wed, 05 May 2010 00:00:00 -0600 Lecture 12: Chain rule: partial derivative of $arctan (y/x)$ w.r.t. $x$ http://freevideolectures.com/Course/2508/Engineering-Mathematics/12 Wed, 05 May 2010 00:00:00 -0600 Lecture 13: Chain rule: identity involving partial derivatives http://freevideolectures.com/Course/2508/Engineering-Mathematics/13 Wed, 05 May 2010 00:00:00 -0600 Lecture 14: Chain rule & partial derivatives http://freevideolectures.com/Course/2508/Engineering-Mathematics/14 Wed, 05 May 2010 00:00:00 -0600 Lecture 15: Partial derivatives and PDEs tutorial http://freevideolectures.com/Course/2508/Engineering-Mathematics/15 Wed, 05 May 2010 00:00:00 -0600 Lecture 16: Multivariable chain rule tutorial. Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/16 Wed, 05 May 2010 00:00:00 -0600 Lecture 17: Gradient and directional derivative. Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/17 Wed, 05 May 2010 00:00:00 -0600 Lecture 18: Gradient of a function. http://freevideolectures.com/Course/2508/Engineering-Mathematics/18 Wed, 05 May 2010 00:00:00 -0600 Lecture 19: Tutorial on gradient and tangent plane. Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/19 Wed, 05 May 2010 00:00:00 -0600 Lecture 20: Directional derivative of $f(x,y)$ http://freevideolectures.com/Course/2508/Engineering-Mathematics/20 Wed, 05 May 2010 00:00:00 -0600 Lecture 21: Gradient & directional derivative tutorial. Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/21 Wed, 05 May 2010 00:00:00 -0600 Lecture 22: Tangent plane approximation and error estimation. Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/22 Wed, 05 May 2010 00:00:00 -0600 Lecture 23: Partial derivatives and error estimation http://freevideolectures.com/Course/2508/Engineering-Mathematics/23 Wed, 05 May 2010 00:00:00 -0600 Lecture 24: Multivariable Taylor Polynomials. Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/24 Wed, 05 May 2010 00:00:00 -0600 Lecture 25: Taylor polynomials: functions of two variables http://freevideolectures.com/Course/2508/Engineering-Mathematics/25 Wed, 05 May 2010 00:00:00 -0600 Lecture 26: Differentiation under integral signs: Leibniz rule. Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/26 Wed, 05 May 2010 00:00:00 -0600 Lecture 27: Leibniz' rule: Integration via differentiation under integral sign http://freevideolectures.com/Course/2508/Engineering-Mathematics/27 Wed, 05 May 2010 00:00:00 -0600 Lecture 28: Evaluating challenging integrals via differentiation: Leibniz rule http://freevideolectures.com/Course/2508/Engineering-Mathematics/28 Wed, 05 May 2010 00:00:00 -0600 Lecture 29: Critical points of functions. Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/29 Wed, 05 May 2010 00:00:00 -0600 Lecture 30: Second derivative test: two variables. Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/30 Wed, 05 May 2010 00:00:00 -0600 Lecture 31: How to find critical points of functions http://freevideolectures.com/Course/2508/Engineering-Mathematics/31 Tue, 30 Aug 2011 00:00:00 -0600 Lecture 32: Critical points + 2nd derivative test: Multivariable calculus http://freevideolectures.com/Course/2508/Engineering-Mathematics/32 Tue, 30 Aug 2011 00:00:00 -0600 Lecture 33: Critical points + 2nd derivative test: Multivariable calculus http://freevideolectures.com/Course/2508/Engineering-Mathematics/33 Tue, 30 Aug 2011 00:00:00 -0600 Lecture 34: How to find and classify critical points of functions http://freevideolectures.com/Course/2508/Engineering-Mathematics/34 Tue, 30 Aug 2011 00:00:00 -0600 Lecture 35: Lagrange multipliers. Chris Tisdell UNSW Sydney. http://freevideolectures.com/Course/2508/Engineering-Mathematics/35 Tue, 30 Aug 2011 00:00:00 -0600 Lecture 36: Lagrange multipliers: Extreme values of a function subject to a constraint http://freevideolectures.com/Course/2508/Engineering-Mathematics/36 Tue, 30 Aug 2011 00:00:00 -0600 Lecture 37: Lagrange multipliers example http://freevideolectures.com/Course/2508/Engineering-Mathematics/37 Tue, 30 Aug 2011 00:00:00 -0600 Lecture 38: Lagrange multiplier example: Minimizing a function subject to a constraint http://freevideolectures.com/Course/2508/Engineering-Mathematics/38 Tue, 30 Aug 2011 00:00:00 -0600 Lecture 39: 2nd derivative test, max / min and Lagrange multipliers tutorial. Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/39 Tue, 30 Aug 2011 00:00:00 -0600 Lecture 40: Lagrange multipliers: 2 constraints. Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/40 Tue, 30 Aug 2011 00:00:00 -0600 Lecture 41: Intro to vector fields. Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/41 Tue, 30 Aug 2011 00:00:00 -0600 Lecture 42: What is the divergence? Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/42 Tue, 30 Aug 2011 00:00:00 -0600 Lecture 43: Divergence + Vector fields. Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/43 Tue, 30 Aug 2011 00:00:00 -0600 Lecture 44: Divergence of a vector field: Vector Calculus http://freevideolectures.com/Course/2508/Engineering-Mathematics/44 Tue, 30 Aug 2011 00:00:00 -0600 Lecture 45: What is the curl? Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/45 Tue, 30 Aug 2011 00:00:00 -0600 Lecture 46: Curl of a vector field (ex. no.1): Vector Calculus http://freevideolectures.com/Course/2508/Engineering-Mathematics/46 Tue, 30 Aug 2011 00:00:00 -0600 Lecture 47: Curl of a vector field (ex. no.2): Vector calculus http://freevideolectures.com/Course/2508/Engineering-Mathematics/47 Tue, 30 Aug 2011 00:00:00 -0600 Lecture 48: Line integrals. Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/48 Tue, 30 Aug 2011 00:00:00 -0600 Lecture 49: Integration over curves. Chris Tisdell UNSW Sydney http://freevideolectures.com/Course/2508/Engineering-Mathematics/49 Tue, 30 Aug 2011 00:00:00 -0600 Lecture 50: Path integral (scalar line integral) from vector calculus http://freevideolectures.com/Course/2508/Engineering-Mathematics/50 Tue, 30 Aug 2011 00:00:00 -0600