Courses list

Wersja polska

Course code: BSRS10004o14
Semester: 2014/2015 winter
Name: Mathematics and Basic Statistics
Major: (Biotechnologia stosowana roślin)
Study Type: first cycle
Course type: compulsory
Study Semester: 1
ECTS points: 6
Hours (Lectures / Tutorials / Other): 15 / 30 / 0
Lecturer: prof. dr hab. Leszek Kuchar
Language of instruction: Polish


Learning outcomes: Knowledge: This course provides an introduction to the advanced mathematics and basic statistics. It is designed to give the student basic competence in the application and interpretation of mathematics through a functions to the calculus and basic statistics. Upon completion of this course students will: appreciate and understand the role of applied mathematics in his field, develop an ability to apply appropriate methods to summarize and analyze biological mechanism or process. Skills: It is expected, the student will be able to report the results in appropriate table or graph for inclusion in your thesis or paper, interpret results and appropriate math techniques and statistics.

Competences: Social competence: Understands the need to work in interdisciplinary teams especially. Is aware of the need for continuous training and improvement of the knowledge in the field of mathematics and basic statistics. Apply the principles of occupational health and safety.

Prerequisites: Basic mathematics

Course content: Calculus I and II, Bacic statistics according Course Plan Course Plan Calculus I Functions Points and lines in the plane. Functions. Graphs. Aids to graphing. Combining functions. Trigonometric functions. Calculus I Limits and continuity Definition of limit. Basic limit theorems. One-side limits. Continuity. Intermediate value theorem. Calculus I Derivatives Derivative definition. Differentiable functions. Derivatives of combinations of functions. Chain rule. Higher derivatives. Implicit differentiation. Related rates. Calculus I Application of the derivative Maximum and minimum values. Mean value theorem. Application of the mean value theorem. Application of extreme values. Concavity and inflection points. Limits and infinity. de’Hospital rule.Taylor theorem. Calculus II Integral Definite Integral. Properties of the definite integral. Fundamental theorem of calculus. Indefinite integrals and integration rules. Integration by substitution. Calculus II Techniques of integration Integration by parts. Trigonometric integrals. Trigonometric substitution. Partial fractions. Improper integrals. Trapezoidal and simpson’s rule. Calculus II Applications of the integral Volumes (Cross-sectional and shell methods). Length of curves. Surface area. Moments and centers of gravity. Area in polar coordinates. Descriptive Statistics Introduction, Frequency distribution and Graphs, Central Tendency and Variability. Hypothesis Testing One-Sample Design, Two-Sample Design. Correlation and Regression Multiple-choice questions, Correlations, Linear Regression Function

Recommended literature: Krysicki W. Włodarski L. : Mathematical Analysis and Exercises, PWN Editions from 8th to 15th Warsaw (in Polish) 1990-2010. Spatz Ch.: Basic Statistics, Thompson and Wadsworth, 2005.

Assessment methods: Knowledge: Written exam. Skills: Assessment of analysis and interpretation of the collected data. All exam answers must be own, and must not provide any assistance to other students during exams. The final exam will be comprehensive. Homework assignments will be submitted almost every week.

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