Multiple Integrals and Vector Calculus(for first-year physics)

CP3 Revision Lecture 1: Calculus (powerpoint file)

CP3 Revision Lecture 1: Calculus (pdf file)

CP3 Revision Lecture 2: Vector Calculus (powerpoint file)

CP3 Revision Lecture 2: Vector Calculus (pdf file)

Synopsis and Problem Sheets (pdf)

Synopsis and Problem Sheets (ps)

Lecture 1: Introductory Topics (pdf file)

Lecture 1: Introductory Topics (powerpoint file)

Lecture 2: Grad(ient) (pdf file)

Lecture 2: Grad(ient) (powerpoint file)

Lecture 3: Line integrals (pdf file)

Lecture 3: Line integrals (powerpoint file)

Lecture 4: Multiple Integrals (pdf file)

Lecture 4: Multiple Integrals (powerpoint file)

Lecture 5: Jacobians (pdf file)

Lecture 5: Jacobians (powerpoint file)

Lecture 6: Surface Integrals (pdf file)

Lecture 6: Surface Integrals (powerpoint file)

Lecture 7: Non-conservative Fields and The Del Operator (pdf file)

Lecture 7: Non-conservative Fields and The Del Operator (powerpoint file)

Lecture 8: Div(ergence) (pdf file)

Lecture 8: Div(ergence) (powerpoint file)

Lecture 9: Divergence Theorem (pdf file)

Lecture 9: Divergence Theorem (powerpoint file)

Lecture 10: Curl (pdf file)

Lecture 10: Curl (powerpoint file)

Lecture 11: Stoke's Theorem (pdf file)

Lecture 11: Stoke's Theorem (powerpoint file)

Lecture 12: 2nd-order Vector Operators (pdf file)

Lecture 12: 2nd-order Vector Operators (powerpoint file)

Lecture 13: Advanced Examples (pdf file)

Lecture 13: Advanced Examples (powerpoint file)

Lecture 14: Einstein Summation Convention (pdf file)

Lecture 14: Einstein Summation Convention (powerpoint file)

Some neat simulations of vector fields

Nice contour maps