How to prepare for 3rd year Maths

  • Thread starter Thread starter David Donald
  • Start date Start date
  • Tags Tags
    Prepare Year
Click For Summary
SUMMARY

A second-year undergraduate mathematics student is preparing for their third year by reviewing key subjects including Calculus, Linear Algebra, and Differential Equations. They have purchased "Linear Algebra Done Right" and "Elementary Analysis: The Theory of Calculus" but are struggling with proof writing, particularly in Linear Algebra. The student seeks recommendations for additional resources or books to enhance their understanding and preparation for advanced mathematics courses.

PREREQUISITES
  • Understanding of Calculus (Calc 1, Calc 2, Calc 3)
  • Familiarity with Linear Algebra concepts
  • Basic knowledge of Differential Equations
  • Experience with mathematical proof writing
NEXT STEPS
  • Explore "How to Prove It: A Structured Approach" by Daniel J. Velleman for proof writing techniques
  • Study "Linear Algebra" by Gilbert Strang for a different perspective on Linear Algebra
  • Investigate online resources such as MIT OpenCourseWare for additional Linear Algebra and proof writing materials
  • Consider introductory number theory texts to broaden mathematical understanding
USEFUL FOR

This discussion is beneficial for undergraduate mathematics students, particularly those transitioning from second to third year, as well as anyone looking to improve their proof writing skills and foundational knowledge in advanced mathematics topics.

David Donald
Messages
31
Reaction score
0
Hello, I am a 2nd year undergraduate maths student going into my third year
who has been through..

Calc 1
Calc 2
Calc 3 or Multivariable Calculus
Linear Algebra
Differential Equations

I bought two books Linear Algebra Done Right
and Elementary Analysis: The Theory of Calculus

I want to brush up on my maths and prepare myself for my future classes though I've hit a roadblock, I have trouble with the concept of proof writing especially the exercises and proofs in Linear Algebra Done Right I find myself getting confused and struggle to even know where to start with such exercises.

If anyone could point me in the right direction as to maybe a different book or place to start in reviewing and preparing for my third year that would greatly appreciated!
 
Physics news on Phys.org
Have you done any number theory so far ?
 

Similar threads

Will an algebra and trig texbook be sufficient preparation for calc?
  • · Replies 1 ·
Replies
1
Views
1K
Studying What to do in a gap year to prepare for a Physics + Math degree
  • · Replies 15 ·
Replies
15
Views
3K
Courses Need help in choosing math classes for a HS student
  • · Replies 32 ·
2
Replies
32
Views
3K
Uncertainty in pursuing Engineering
  • · Replies 19 ·
Replies
19
Views
1K
Courses Preparation for an applied math career
  • · Replies 5 ·
Replies
5
Views
2K
Studying Should I first study the math or math and physics at the same time?
  • · Replies 9 ·
Replies
9
Views
5K
Should I double up on math courses next school year?
  • · Replies 5 ·
Replies
5
Views
3K
Other Math Olympiad Advice Please (I will be 13 years old next year in 9th grade)
  • · Replies 2 ·
Replies
2
Views
3K
How would one prepare for mathematical physics?
  • · Replies 1 ·
Replies
1
Views
1K
How to prepare for oral examination?
  • · Replies 4 ·
Replies
4
Views
3K