Vector Calculus (for first-year physics)

Synopsis and Problem Sheets (shift/click to download pdf file)

Synopsis and Problem Sheets (shift/click to download ps file)

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: Non-conservative Fields and Surface Integrals (pdf file)

Lecture 4: Non-conservative Fields and Surface Integrals (powerpoint file)

Lecture 5: Div(ergence) (pdf file)

Lecture 5: Div(ergence) (powerpoint file)

Lecture 6: Divergence Theorem (pdf file)

Lecture 6: Divergence Theorem (powerpoint file)

Lecture 7: Curl (pdf file)

Lecture 7: Curl (powerpoint file)

Lecture 8: Stoke's Theorem (pdf file)

Lecture 8: Stoke's Theorem (powerpoint file)

Lecture 9: 2nd-order Vector Operators (pdf file)

Lecture 9: 2nd-order Vector Operators (powerpoint file)

Lecture 10: Einstein's Summation Convention (pdf file)

Lecture 10: Einstein's Summation Convention (powerpoint file)

Some neat simulations of vector fields

Nice contour maps