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You can control the number of courses that show up on the home page as well as their order by logging into Moodle and clicking on the Customize this page button on the top right of the Moodle home page. In the course overview block, you can select the number of courses to display and use the four-way arrow icons to rearrange the order of classes.
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If you have customized the course listing to limit the number of courses shown on the front page, it is possible that the course of interest does not appear. Make sure you have clicked the Customize this page button and switch the "Number of courses to display:" pull down menu to "Always show all" courses and look for your course. You can then move the course to the top of the screen and reduce the number of courses shown.
Students: If you are enrolled in the course, but it does not show up in your Moodle home page, most likely your professor has not made the course available to students. They might not be using Moodle or they may be waiting to make the course available. You can check with your instructor.