Mathematics University of Tsukuba
Introduction to mathematics for life and environmental sciences covers application of calculus using applied differentiation and integration, logarithmic and exponential functions, first order differential equations, matrix and probability. This course emphasizes to solve problems related to life and environmental sciences using a wide array of mathematical solutions.
To help students to learn sufficient mathematics and develop problem-solving skills that lead to success in future courses and in chosen careers. Additionally,to help students become critical thinkers by understanding scientific concepts that will form a basis for making important decisions about issues concerning life and the environment.
The objective of this course is to provide a sound understanding of the basic structure of functions and function notation, and transformations of functions. With these basic components in hand we will further research the specific details and intricacies of each type of function in our toolkit and use them to model the world around us. Introductory calculus will be discussed to relate the applications with life and environmental sciences and further course works for advanced mathematics.
Exam 50% (long and short answer questions), Class participation and attitude 30%, Quizzes and brief reports 20%.
There will be 10 classes in this course. In the classes, students will learn the basics function, calculas, matrix and probability. They will study standard functions with graph, applications of differentiation and integration in life sciences. More generally, the students will improve their ability to think critically, to analyze a real problem and solve it using a wide array of mathematical tools. These skills will be invaluable to them in whatever path they choose to follow for study in the advance scienes and applications. They will also able to apply these ideas to a wide range of problems that include the life and environmental sciences issues. The students should be able to interpret the concepts of modeling algebraically, graphically, and verbally.Functions A review of Basic Algebra, Functions and Function Notation, Linear Functions, Modeling with Linear Functions, Polynomial and Rational Functions, Review FeedbackExponential and Logarithmic Functions Exponential Functions, Logarithmic Functions, Graphs of Logarithmic Functions, Extended Life and Environmental Sciences Connection, Review FeedbackDifferentiationDifferentiation Techniques- Introductory, Product, Quotient & Chain Rule,Average and Instantaneous Rates of Change, Extended Life and Environmental Sciences ConnectionIntegration Integration- Definite and Indefinite Integrals. Integration Techniques, Substitutions, Integration by Parts, Tables and Technology and Calculating Volume, Extended Life and Environmental Sciences ConnectionProbabilityMultiplication Trees and Bayes' Rule. The binomial distributions, Expected Value and Standard Deviation for Discrete Random Variables, The Poisson Process and The Normal Distribution, Extended Life and Environmental Sciences ConnectionProject and Make Up PracticesGroup-based a project work to develop a Mathematical Model to demonstrate the application of different ion and integration, to show the average/instantaneous rate of change of climate and volume calculation for given biomassMathematical Models and ConversionsNumerical Interpretations of Mathematical Models and Trigonometric FunctionsConversion Techniques, Graphic and Trigonometric functions for Sine and CosineIntroductory of Advance Mathematics: Implicit Differentiation, Matrices, Partial Derivatives and First Order Differential Equations, Extended life and Environmental Science Connection, Extended Life and Environmental Sciences ConnectionProject and Make Up PracticesGroup-based a project presentation of the Mathematical Model to demonstrate the application of different ion and integration. The differentiation model would represent the average/instantaneous rate of change of climate and IFinal Exam
Online Course Requirement
As discussed at Week 1.
Site for Inquiry
Link to the syllabus provided by the university