BITL3 - Math Lab for Mathematics 1 - Fall 2021
Other offerings of this course: Fall 2020, Fall 2021
Time: Wednesdays 9:00 - 10:40 and Thursdays 14:00 - 15:40
Mathematics 1 instructor: Kristīne Ševčenko
Internal page: ORTUS e-studijas
Math Lab instructor: Jānis Lazovskis, janis.lazovskis@rbs.lv
Office: 404, Skolas iela 11
Office hours (in person): Tuesdays 15:40 - 17:00 in 404
Office hours (on Zoom): Bookable at Calendly
Worksheets
Worksheets of (some, not all of) the problems given in class.
- 8 September: logical statements, negations, quantifiers
- 9 September: number systems, decimal expansions, set operations
- 15 September: polynomials, inequalities
- 16 September: function graphs, absolute value inequalities
- 22 September: polynomial division, remainder theorem, integer root theorem
- 23 September: binomial theorem, factorials, summations, introduction to induction
- 29 September: linear functions, odd / even / periodic functions, domains, more induction
- 30 September: power functions, graphs, even more induction
- 6 October: graphs of functions, sketching functions
- 7 October: more graphs of functions, shifting, stretching, reflecting
- 13 October: piecewise functions, floor and ceiling, instantaneous rate of change
- 14 October: asymptotes, tangent lines, more limits, drawing functions
- 20 October: limit laws, evaluating limits, the epsilon-delta definition of a limit
- 21 October: continuity, limit definition of derivative, laws of derivatives
- 27 October: no lab due to midterm
- 28 October: derivatives, graphs of derivatives, applications of derivatives
- 3 November: more derivatives, tangent lines
- 4 November: exponential limits, product rule, higher derivatives
- 10 November: chain rule, nested functions, trigonometric derivatives, sin and cosine as exponentials
- 11 November: implicit differentiation, logarithmic derivatives
- 17 November: more implicit differentiation, elasticity, exponentials and derivatives
- 24 November: linear approximations, l'Hopital's rule
- 25 November: the differential of a function, more problems with tangent lines
- 1 December: critical points, maxima, minima, monotonicity
- 2 December: more extrema, second and thrid derivatives
- 8 December: concavity and convexity, second derivative test, asymptotes, sketching graphs
- 9 December: optimization word problems, introduction to sequences