Instructors: Jess Kunke and Adam Visokay

Note for participants: Please see emails and this page for updates before and during the math camp.
 

Monday, September 9:         Parrington Hall, room 320 (9:00am-2:00pm)
                                                    Parrington Hall, room 360 (2:00pm-5:00pm)
Tuesday, September 10:       Mechanical Engineering Building, room 238 (9:00am-5:00pm)
Wednesday, September 11: Parrington Hall, room 320 (9:00am-2:00pm)
                                                    Parrington Hall, room 360 (2:00pm-5:00pm)
Thursday, September 12:      Parrington Hall, room 360 (9:00am-5:00pm)
Friday, September 13:            Parrington Hall, room 320 (9:00am-2:00pm)
                                                    Parrington Hall, room 360 (2:00pm-5:00pm)

 

9am-12pm: Review math concepts, do practice problems

12-1pm: Lunch/break

1-2pm: Office hour/extra practice

2-4pm: Introduction to R programming language

 

Slides and materials will be linked in the schedule below as they are made available. Much of the course material provided here was first created by Laina Mercer with developments by Jessica Godwin, Peter Gao, Jess Kunke and Erin Lipman.

 

Tentative calendar (will be continually updated during the camp):

Day Math Concepts (AM) R Lab (PM)
Day 1 Mon 9/9  
 

Part A: Notation, logarithms, exponents, functions, and algebra.

Part B: Linear equations, systems of equations, and limits.

Lab 1 notes document (click here)

  • Intro to computing, R and RStudio
  • Basic operations and variables in R
  • Reading in and exploring data
Day 2 Tue 9/10  
 

Matrix algebra, matrix arithmetic, determinants, linear equations, and least squares. 

Lab 2 notes document (click here) and data (here)

  • Reading in data from a file
  • Data exploration
  • Data manipulation with tidyverse

Script we wrote in class Days 2-3 (click here)

Day 3 Wed 9/11  
 

Derivatives and optimization (finding minima/maxima)

Lab 3 notes document (click here)

  • Data manipulation with tidyverse (continued)
  • Data visualization
  • Matrices in R

Day 3 Script (click here)

Day 4 Thu 9/12  
 

Intro to probability (sets, basic rules, conditional probability)

Random variables (bernoulli, binomial, uniform, normal; expectation, variance)

Probability distributions (pmfs/pdfs))

Lab 4 notes document (click here)

  • Solving problems using simulations
  • Probability and sampling
  • Benchmarking
  • For-loops
  • Writing your own functions in R

Day 4 script (click here)

Day 5.    Fri 9/13                                                                                                              
 

Integrals, Numerical approximation to integrals, Monte Carlo integration

Flex time to go over anything that was confusing/could use more practice

Lab 5 notes document (click here)

Lab 5 example Quarto doc (click here)

  • Finish Day 3 plots (multiple curves in a plot; facets)
  • Quarto
  • Extra data analysis/plotting practice!

Day 5 R script (click here)