MA 1132 Advanced Calculus


Spring 2013 - Trinity College Dublin (Hilary Term)


Instructor:   Petronela Radu - Fulbright Fellow at School of Mathematics, TCD

E-mail:
pradu@math.unl.edu

Course Syllabus


Solutions to Tutorial 1
(Jan 22--23) Taylor and Maclaurin polynomials and series.

Solutions to Tutorial 2 (Jan 29--30) Power series; radius and interval of convergence, computing the sum of a power series.

Solutions to Tutorial 3 (Feb 5 -- 6) Vectors, dot product, cross product.

Solutions to Tutorial 4 (Feb. 12 -- 13) Parametric equations, partial derivatives.

Solutions to Tutorial 5 (Feb. 19 -- 20) Normals to a surface, tangent planes.

Solutions to Tutorial 6 (March 5 -- 6) Gradients, chain rule for functions of 2 variables.

Solutions to Tutorial 7 (March 12 -- 13) Implicit function theorem, second order derivative test.

Solutions to Tutorial 8 (March 19 -- 20) Double integrals.

Solutions to Tutorial 9 (March 26 -- 27) Double integrals in polar coordinates; calculus in three dimensions (gradient, tangent plane etc.).

Solutions to Tutorial 10 (April 2 -- 3) Triple integrals.


Review to Exam 1

Solutions to review exam 1

Solutions to Exam 1


Review to Exam 2

Solutions to review exam 2

Solutions to Exam 2