Course Name 
Mathematics & Statistics  Calculus for Science 
Course Provider 
University College Dublin 
Course Code 
MATH10310 
Course Type 
Lifelong Learning 
Apply To 
Course provider 
Attendance Options 
Part time 
Location (Districts) 
Belfield 
Enrolment and Start Dates Comment 
TRIMESTER: Autumn 
Application Date 
20212022 Academic Year
PreRegistration for September 2021 reopening in August! 
Duration 
Autumn Trimester  September to December.
Mode of Delivery: FacetoFace. 
Link to Course Fee 
Web Page  Click Here 
Eligibility 
Expand+Requirements, Exclusions and Recommendations
Not applicable to this module.
Module Requisites and Incompatibles
Incompatibles:
ECON10030  Intro Quantitative Economics, MATH10030  Maths for Business, MATH10060  Diff & Integral Calc, MATH10130...
HideRequirements, Exclusions and Recommendations
Not applicable to this module.
Module Requisites and Incompatibles
Incompatibles:
ECON10030  Intro Quantitative Economics, MATH10030  Maths for Business, MATH10060  Diff & Integral Calc, MATH10130  Intro to Analysis (E&F), MATH10140  Advanced Calculus (E&F), MATH10170  Maths for Engineers III, MATH10230  Mathematics for Agriculture I , MATH10240  Mathematics for Agriculture II, MATH10250  Intro Calculus for Engineers , MATH10300  Calculus in the Math. Sciences, MATH10330  Calculus in the Phy Sciences, MATH10350  Calculus (MPS), MATH10400  Calculus (Online), MATH10420  Intro Calculus Engineers(NUin), MATH20130  Fund. Actuarial Mathematics I, MST00050  Mathematics: An introduction, MST10010  Calculus I
Equivalents:
Introduction to Calculus (MATH10070)

Course Content 
Expand+MATH10310 Calculus for Science
Academic Year 2021/2022
This module is an introduction to differential calculus and its applications, assuming no prior knowledge of the topic. Introduction to functions and their graphs: linear functions, quadratics,...
HideMATH10310 Calculus for Science
Academic Year 2021/2022
This module is an introduction to differential calculus and its applications, assuming no prior knowledge of the topic. Introduction to functions and their graphs: linear functions, quadratics, higher degree polynomials, rational functions. The algebra of powers and roots. Limits of functions. The average rate of change of a function. The derivative as the instantaneous rate of change and the slope of a tangent line. Rules for computing derivatives. The exponential function and the natural logarithm. Using the derivative to sketch graphs and solve max/min problems. A preview of integration and areas. Applications in the sciences.
Learning Outcomes:
On completion of this module students should be able to:
1. Determine the slope and equation of a straight line from two points on the line, or equivalent information
2. Determine whether a given function is a linear function, a quadratic function, a polynomial, a rational function
3. Extract information from the graph of a function, and plot the graph of a given function
4. Calculate simple limits and find the derivative of a few functions from first principles
5. Apply differentiation rules to calculate the derivative of a wide variety of functions
6. Manipulate and simplify expressions involving polynomials, roots, rational powers, exp and ln, and solve equations involving these
7. Use the derivative find critical points and to sketch graphs
8. Solve simple maximisation/minimisation problems
9. Calculate and interpret the integral of a polynomial
10. Formulate scientific problems involving the rate of change of a process in terms of the mathematics of differential calculus

Number of Credits 
5 
Careers or Further Progression 
Open Learning is one of our most flexible pathways for entering into UCD undergraduate study. With 12 UCD undergraduate programmes, learners are able to accumulate 30 credits towards a NFQ Level 7 Certificate in Open Learning at their own pace from a variety of undergraduate modules. We have a dedicated team ready to support you in planning your unique learning journey, contact us via: all@ucd.ie. 
Course Web Page 
Web Page  Click Here 

