Inhalt
[ 675MATHCA113 ] Module Calculus I





Workload 
Mode of examination 
Education level 
Study areas 
Responsible person 
Coordinating university 
6 ECTS 
Accumulative module examination 
B1  Bachelor's programme 1. year 
Mathematics 
Vlastimil Krivan 
USB Budweis 



Detailed information 
Original study plan 
Bachelor's programme Bioinformatics 2014W 
Objectives 
To develop basic concepts of differential calculus.

Subject 
 Review (Functions, Inverse Functions, Trig Functions, Exponential Functions, Logarithm Functions, Common Graphs)
 Limits (Onesided limits, Tangent Lines and Rates of Change, Limit Properties, Computing Limits, Limits Involving Infinity)
 Continuity (Definition, Onesided limits, Upper and Lower Bound Theorem, Mean Value Theorem)
 Derivatives (Definition, Interpretation of the Derivative, Nondifferentiable functions)
 Differentiation Formulas (Product and Quotient Rule, Derivatives of Trig Functions, Derivatives of Exponential and Logarithm Functions, Derivatives of Inverse Trig Functions, Derivatives of Hyperbolic Trig Functions, Chain Rule, Implicit Differentiation, Higher Order Derivatives)
 Applications of Derivatives (Critical Points, Minimum and Maximum Values, Increasing and Decreasing Functions, Inflection points, Concavity, the Second Derivative Test)
 Mean Value Theorem, Optimization Problems, L'Hospital's Rule and Indeterminate Forms, Linear Approximations, Differentials, Newton's Method




Subordinated subjects, modules and lectures 


