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MAT1005: CALCULUS II (Vector Calculus)
Sergey Zelik
E-mail: S.zelik@surrey.ac.uk
|
Day |
Time |
Room |
weeks |
|
Tuesday |
15:00-16:00 |
LTL |
1 – 11 |
|
Friday |
9:00-11:00 |
LTL |
1 -11 |
|
Friday (tutorial) |
15:00-16:00 |
AP 3-4 |
1 – 11 |
MAT1005: There will be one class tests and an examination.
Class test: Friday May 4 (Week 9) counts for 25% of the semester marks
Examination counts for 75% of semester marks
There will be two unassessed courseworks for MAT1005
Current year (2012):
Lecture 1 (Analytic Geometry) pdf
Tutorial 1 with solutions pdf
Tutorial 2 with solutions pdf
Tutorial 3 with solutions pdf
Tutorial 4 with solutions pdf
Tutorial 5 with solutions pdf
Tutorial 6 with solutions pdf
Tutorial 7 with solutions pdf
Tutorial 8 with solutions pdf
Tutorial 9 with solutions pdf
Unassessed CourseWork I pdf with solutions.
Unassessed CourseWork II pdf with
solutions
Class Test with comments and
solutions pdf
Previous year (2011):
Scanned handwritten notes (the same as for the current year except of second order ODEs)
Lecture 2 (Differentiable functions of many variables): pdf
Lecture 3-4 (Differentiable functions of many variables continued): pdf
Lecture 5-6 (Taylor expansions, maximums and minimums): pdf
Lecture 7-8 (Minimization with constrains. Lagrange multipliers): pdf
Lecture 9 (Vector functions of many variables. Jacobi matrix): pdf
Lecture 10-11 (Chain rule and change of variables in differential operators): pdf
Lecture 12-13 (Implicit functions and implicit function theorem): pdf
Lecture 14-15 (Linear Second order ODEs): pdf
Lecture 16 (Riemann integration: an extended reminder): pdf
Lecture 17-19 (Multiple integrals): pdf
Lecture 20 (Line and surface integrals - scalar case): pdf
Lecture 21 (Line and surface integrals – vector case): pdf
Lecture 22 (Integration by parts in multiple integrals): pdf
Lecture 23 (Potential vector fields and potentials): pdf
ClassTest I with solutions pdf
ClassTest II with solutions pdf
Problems of Tutorial I with Solutions. pdf
Problems of Tutorial II with solutions pdf
Problems of Tutorial III with solutions pdf
Problems of Tutorial IV with solutions pdf
Problems of Tutorial V with solutions pdf
Questions for self-control Part I pdf
Questions for self-control Part II pdf
CWI (2011)with solutions:. pdf
CWII(2011) II with solutions: pdf
Notations (problems detected in the test papers!!! ) pdf
NB! It is EXTREMELY recommended to re-read
the solutions of the Tutorials problems as well as the Courseworks
problems BEFORE the Tests/EXAM !!!!!
Previous years: Warning: there are no one-to-one correspondences between that materials and current lectures
Partial derivatives (printed notes, thanks to Stephen Gourley). pdf
Min-Max 2 variables + many examples pdf
2) Calculus by James Stewart
Both are available in the Library.
A brilliant
engine for the online computing of partial derivatives, integrals, solving
min-max problems and for doing many other things!
Can be used for
the self training and self checking especially if there are problems with
computing derivatives!!