18.023A
Calculus with Applications
D. Kleitman
MonFri, Jan 59, 1216, 2023, 2630, 1201:00pm, 2347
Preregister on WebSIS and attend first class.
No listeners
Prereq: —
Level: U 12 units Standard A  F Grading
Integral calculus in several variables, integrals, line integrals, integration in the complex plane, area, surface and volume integrals, multiple integrals, the fundamental theorem of calculus in each of these contexts, including Stokes' theorem and the divergence theorem with applications to electromagnetic fields. Second half, including review and introduction to linear algebra, taught in IAP. Extensive use of applet and spreadsheet computations. Numerical methods for integration and solution to ordinary differential equations with applications to physics.
Contact: D. Kleitman, 2347, djk@math.mit.edu

18.02A
Calculus
A. Mattuck
MonFri, Jan 59, 1216, 2023, 2630, 1201:00pm, 54100, Recitation TR 10 or 2
Preregister on WebSIS and attend first class.
No listeners
Prereq: 18.01A or 18.01
Level: U 12 units Standard A  F Grading
First half is taught during the last six weeks of the fall term; covers material in the first half of 18.02 (through double integrals). Second half of 18.02A can be taken either during IAP (daily lectures) or during the first half of the Spring term; it covers the remaining material in 18.02.
Contact: Stephanie (Stevie) Gallarelli, 2108, x34977, nonna@math.mit.edu

18.095
Mathematics Lecture Series
Richard Dudley
Mon, Wed, Fri, Jan 5, 7, 9, 12, 14, 16, 21, 23, 26, 28, 0102:30pm, 2190
Preregister on WebSIS and attend first class.
Listeners welcome at individual sessions (series)
Prereq: 18.01
Level: U 6 units Graded P/D/F Can be repeated for credit
Ten lectures by mathematics faculty members on interesting topics from both classical and modern mathematics. All lectures accessible to students with calculus background and an interest in mathematics. At each lecture, reading and exercises are assigned. Students prepare these for discussion in a weekly problem session.
Students taking 18.095 for credit are expected to attend regularly and to do problem sets.
Contact: Richard Dudley, x37567, rmd@math.mit.edu

18.997
Special Topics in Mathematics
Maxim Vybornov
MonWed, Fri, Jan 12, 14, 16, 2021, 23, 0304:30pm, 2131, Tues. Jan. 20 only: Rm:2102
Prereq: Permission of instructor or 18.03 and 6.041 or 18.440
Level: H 3 units Standard A  F Grading Can be repeated for credit
Opportunity for group study of advanced subjects in mathematics not otherwise included in the curriculum. Offerings are initiated by members of the Mathematics faculty on an ad hoc basis, subject to Departmental approval.
The course will start with a review of basic probability notions. We will then introduce Markov chains and Brownian motion/Wiener processes and discuss integration over the space of all trajectories of a Wiener process. If time allows we will present a crash introduction to quantum field theory and the onedimensional Feynman integral and explain the relationship between the Feynman and Wiener integrals. Problem sets will be assigned. Reference: "Brownian Motion and Stochastic Calculus" by Karatzas and Shreve.
Contact: Maxim Vybornov, 2155, x33664, vybornov@math.mit.edu

