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.