Admissions

Optional Advanced Mathematics Courses

                                                Optional Advanced Mathematics Courses

The courses listed in this section are not required for admission but can provide useful background.

SubjectRutgers CourseCourse AbstractPrimary Textbook
Mathematical reasoning Math 01:640:300 (3)
Introduction to Mathematical Reasoning
Fundamental abstract concepts common to all branches of mathematics. Special emphasis placed on ability to understand and construct rigorous proofs. A Transition To Advanced Mathematics, by Smith, Eggen, St. Andre
Advanced calculus I Math 01:640:311 (4)
Advanced Calculus I
Introduction to language and fundamental concepts of analysis. The real numbers, sequences, limits, continuity, differentiation in one variable. Introduction to Analysis by Edward D. Gaughan, 5th edition, Brooks/Cole, 1998
Advanced calculus II Math 01:640:312 (2)
Advanced Calculus II
Continuation of Advanced Calculus I Advanced Calculus by Patrick Fitzpatrick; Brooks/Cole, 2006
Introduction to numerical analysis II Math 01:640:374 (3)
Numerical Analysis II
Continuation of Numerical Analysis I Numerical Analysis by R.Burden & J.Faires; Brooks/Cole, 2005
Mathematical analysis I Math 01:640:411 (3)
Mathematical Analysis I

Rigorous analysis of the differential and integral calculus of one and several variables. Principles of Mathematical Analysis by Walter Rudin, 3rd edition, McGraw-Hill, 1976
Mathematical analysis II Math 01:640:412 (3)
Mathematical Analysis II
Continuation of Mathematical Analysis I Principles of Mathematical Analysis by Walter Rudin, 3rd edition, McGraw-Hill, 1976
Applied mathematics Math 01:640:426 (3)
Topics in Applied Mathematics
Topics selected from integral transforms, calculus of variations, integral equations, Green's functions; applications to mathematical physics.