Mathematical Analysis I (10)

Professor: Patrik Wahlberg

Subject Giude

Books:

Principles of General Chemistry - Martin Silberberg (on zlib)
Chemical principles: The Quest for Insight - Peter Atkins, Loretta Jones, Leroy Laverman (on zlib)
Chemistry: the molecular nature of matter and change - Martin Silberberg (on zlib)
ChemistrYES! - B. Bonelli, M.U. Tomalino

Exercise Books:

Let's practice for the Chemistry Exam - M. Armandi, B. Bonelli

Class Material

My recommended resources:

Poliquiz: a bank of previously encountered questions in the quizes, the website is run by a student
3Blue1Brown (Youtube)
The essence of calculus a video by 3Blue1Brown
Crash Course(Youtube)

Pass Rate(2022): X%

Classes: 58.5hours(14 weeks)

How exam works

First Exam: 30mins 15 questions multiple choice between 5 options, right answer worth 1, wrong answer worth 0 so guessing is allowed.
Max score: 15, Min score to pass: 8
Second Exam: 1hr written exam worth 22 credits, min score 12

Chapter 1

Set theory
number sets
logic
Completeness of $\mathbb{R}$

Rest of the Chapters

2 Functions, basic concepts, elementary functions
3 limits of sequences & funcitons, continuity
4 theorem of limits, uniqueness, sign, squeeze, compar, ..
5 Landua symbols, asymptotes
6 diff calculus, fermat,theorems of: Rolle, Lagrange, Cauchy
6 monotone funcs, derivatives,convexity, l'hopitals theorem
7 Taylor expansions, peano.. , taylor series, basic funcs, Application real analysis, lim
9 Int calculus, primitives of rational funcs
9 The Reiman integral, props of definite intgls, mean value theorem
9 Fundamenta theorem intgl calc aplication
10 Improper integrals
8.3 complex numbers
11 differential equations, linear first order init problem
11 linear second order eqns of constant coeff